351973125 has 90 divisors (see below), whose sum is σ = 739605438. Its totient is φ = 160776000.

The previous prime is 351973067. The next prime is 351973129. The reversal of 351973125 is 521379153.

It can be written as a sum of positive squares in 5 ways, for example, as 111133764 + 240839361 = 10542^2 + 15519^2 .

It is not a de Polignac number, because 351973125 - 2⁸ = 351972869 is a prime.

It is a super-3 number, since 3×351973125³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 351973125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351973129) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 274987 + ... + 276263.

Almost surely, 2^351973125 is an apocalyptic number.

351973125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

351973125 is an abundant number, since it is smaller than the sum of its proper divisors (387632313).

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

351973125 is a wasteful number, since it uses less digits than its factorization.

351973125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1292 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 351973125 is about 18760.9468044659. The cubic root of 351973125 is about 706.0516972686.

The spelling of 351973125 in words is "three hundred fifty-one million, nine hundred seventy-three thousand, one hundred twenty-five".