351915900625 has 45 divisors (see below), whose sum is σ = 448233638853. Its totient is φ = 276205560000.

The previous prime is 351915900601. The next prime is 351915900629. The reversal of 351915900625 is 526009519153.

The square root of 351915900625 is 593225.

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

It can be written as a sum of positive squares in 22 ways, for example, as 54603070929 + 297312829696 = 233673^2 + 545264^2 .

It is not a de Polignac number, because 351915900625 - 2¹¹ = 351915898577 is a prime.

It is a super-2 number, since 2×351915900625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (351915900629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 904667931 + ... + 904668319.

Almost surely, 2^351915900625 is an apocalyptic number.

351915900625 is the 593225-th square number.

351915900625 is the 296613-rd centered octagonal number.

It is an amenable number.

351915900625 is a deficient number, since it is larger than the sum of its proper divisors (96317738228).

351915900625 is an frugal number, since it uses more digits than its factorization.

351915900625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 46.

It can be divided in two parts, 3519 and 15900625, that added together give a square (15904144 = 3988²).

The spelling of 351915900625 in words is "three hundred fifty-one billion, nine hundred fifteen million, nine hundred thousand, six hundred twenty-five".