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1350901125 = 33537211271
BaseRepresentation
bin101000010000101…
…0001110110000101
310111010221212222000
41100201101312011
510231312314000
6342014255513
745322320150
oct12041216605
93433855860
101350901125
11633604012
123184b7599
13186b4a5a2
14cb5b0c97
157d8e7000
hex50851d85

1350901125 has 128 divisors (see below), whose sum is σ = 2878586880. Its totient is φ = 612360000.

The previous prime is 1350901103. The next prime is 1350901127. The reversal of 1350901125 is 5211090531.

It is not a de Polignac number, because 1350901125 - 25 = 1350901093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350901127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4984740 + ... + 4985010.

It is an arithmetic number, because the mean of its divisors is an integer number (22488960).

Almost surely, 21350901125 is an apocalyptic number.

1350901125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1350901125 is an abundant number, since it is smaller than the sum of its proper divisors (1527685755).

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

1350901125 is a wasteful number, since it uses less digits than its factorization.

1350901125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 1350901125 is about 36754.6068541074. The cubic root of 1350901125 is about 1105.4553040002.

Adding to 1350901125 its reverse (5211090531), we get a palindrome (6561991656).

The spelling of 1350901125 in words is "one billion, three hundred fifty million, nine hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 211 225 271 315 375 525 633 675 813 875 945 1055 1125 1355 1477 1575 1897 1899 2439 2625 3165 3375 4065 4431 4725 5275 5691 5697 6775 7317 7385 7875 9485 9495 12195 13293 15825 17073 20325 22155 23625 26375 28455 28485 33875 36585 36925 39879 47425 47475 51219 57181 60975 66465 79125 85365 101625 110775 142275 142425 171543 182925 184625 199395 237125 237375 256095 285905 304875 332325 400267 426825 514629 553875 711375 712125 857715 914625 996975 1200801 1280475 1429525 1543887 1661625 2001335 2134125 2573145 3602403 4288575 4984875 6004005 6402375 7147625 7719435 10006675 10807209 12865725 18012015 21442875 30020025 38597175 50033375 54036045 64328625 90060075 150100125 192985875 270180225 450300375 1350901125