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1335250125 = 325311217577
BaseRepresentation
bin100111110010110…
…0100110011001101
310110001111201211100
41033211210303031
510213311001000
6340255013313
745042303336
oct11745446315
93401451740
101335250125
11625794200
1231320a239
1318382a841
14c949928d
157c354a00
hex4f964ccd

1335250125 has 144 divisors (see below), whose sum is σ = 2806208496. Its totient is φ = 608256000.

The previous prime is 1335250123. The next prime is 1335250127. The reversal of 1335250125 is 5210525331.

It is a happy number.

1335250125 is a `hidden beast` number, since 13 + 3 + 525 + 0 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (1335250123) and next prime (1335250127).

It can be written as a sum of positive squares in 8 ways, for example, as 15163236 + 1320086889 = 3894^2 + 36333^2 .

It is not a de Polignac number, because 1335250125 - 21 = 1335250123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335250121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2313837 + ... + 2314413.

It is an arithmetic number, because the mean of its divisors is an integer number (19487559).

Almost surely, 21335250125 is an apocalyptic number.

1335250125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1335250125 is an abundant number, since it is smaller than the sum of its proper divisors (1470958371).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1335250125 is a wasteful number, since it uses less digits than its factorization.

1335250125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1335250125 is about 36541.0744915910. The cubic root of 1335250125 is about 1101.1695893115.

Adding to 1335250125 its reverse (5210525331), we get a palindrome (6545775456).

The spelling of 1335250125 in words is "one billion, three hundred thirty-five million, two hundred fifty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 121 125 153 165 187 225 255 275 363 375 425 495 561 577 605 765 825 935 1089 1125 1275 1375 1683 1731 1815 2057 2125 2475 2805 2885 3025 3825 4125 4675 5193 5445 6171 6347 6375 8415 8655 9075 9809 10285 12375 14025 14425 15125 18513 19041 19125 23375 25965 27225 29427 30855 31735 42075 43275 45375 49045 51425 57123 69817 70125 72125 88281 92565 95205 107899 129825 136125 147135 154275 158675 209451 210375 216375 245225 257125 285615 323697 349085 441405 462825 476025 539495 628353 649125 735675 771375 793375 971091 1047255 1186889 1226125 1428075 1618485 1745425 2207025 2314125 2380125 2697475 3141765 3560667 3678375 4855455 5236275 5934445 7140375 8092425 8727125 10682001 11035125 13487375 15708825 17803335 24277275 26181375 29672225 40462125 53410005 78544125 89016675 121386375 148361125 267050025 445083375 1335250125