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1355096925 = 335271321697
BaseRepresentation
bin101000011000101…
…0010001101011101
310111102212001112000
41100301102031131
510233401100200
6342244232513
745403063620
oct12061221535
93442761460
101355096925
11635a0a416
1231999b739
13187989300
14cbd83db7
157de75300
hex50c5235d

1355096925 has 144 divisors (see below), whose sum is σ = 3082481280. Its totient is φ = 571484160.

The previous prime is 1355096923. The next prime is 1355096947. The reversal of 1355096925 is 5296905531.

1355096925 is a `hidden beast` number, since 1 + 3 + 550 + 9 + 6 + 92 + 5 = 666.

It is not a de Polignac number, because 1355096925 - 21 = 1355096923 is a prime.

It is a super-2 number, since 2×13550969252 = 3672575352288911250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355096923) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 797677 + ... + 799373.

It is an arithmetic number, because the mean of its divisors is an integer number (21406120).

Almost surely, 21355096925 is an apocalyptic number.

1355096925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1355096925 is an abundant number, since it is smaller than the sum of its proper divisors (1727384355).

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

1355096925 is a wasteful number, since it uses less digits than its factorization.

1355096925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 1355096925 is about 36811.6411614587. The cubic root of 1355096925 is about 1106.5986088915.

The spelling of 1355096925 in words is "one billion, three hundred fifty-five million, ninety-six thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 135 169 175 189 195 225 273 315 325 351 455 507 525 585 675 819 845 945 975 1183 1365 1521 1575 1697 1755 2275 2457 2535 2925 3549 4095 4225 4563 4725 5091 5915 6825 7605 8485 8775 10647 11879 12285 12675 15273 17745 20475 22061 22815 25455 29575 31941 35637 38025 42425 45819 53235 59395 61425 66183 76365 88725 106911 110305 114075 127275 154427 159705 178185 198549 229095 266175 286793 296975 320733 330915 381825 463281 534555 551525 595647 772135 798525 860379 890925 992745 1145475 1389843 1433965 1603665 1654575 2007551 2316405 2581137 2672775 2978235 3860675 4169529 4301895 4963725 6022653 6949215 7169825 7743411 8018325 10037755 11582025 12905685 14891175 18067959 20847645 21509475 30113265 34746075 38717055 50188775 54203877 64528425 90339795 104238225 150566325 193585275 271019385 451698975 1355096925