351085875625 has 45 divisors (see below), whose sum is σ = 444511945801. Its totient is φ = 277206896000.

The previous prime is 351085875607. The next prime is 351085875643. The reversal of 351085875625 is 526578580153.

The square root of 351085875625 is 592525.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (351085875607) and next prime (351085875643).

It can be written as a sum of positive squares in 22 ways, for example, as 323491350169 + 27594525456 = 568763^2 + 166116^2 .

It is a de Polignac number, because none of the positive numbers 2^k-351085875625 is a prime.

It is a super-2 number, since 2×351085875625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2029398039 + ... + 2029398211.

Almost surely, 2^351085875625 is an apocalyptic number.

351085875625 is the 592525-th square number.

351085875625 is the 296263-rd centered octagonal number.

It is an amenable number.

351085875625 is a deficient number, since it is larger than the sum of its proper divisors (93426070176).

351085875625 is an frugal number, since it uses more digits than its factorization.

351085875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 55.

The spelling of 351085875625 in words is "three hundred fifty-one billion, eighty-five million, eight hundred seventy-five thousand, six hundred twenty-five".