431415525125 has 16 divisors (see below), whose sum is σ = 579822467952. Its totient is φ = 318583771200.

The previous prime is 431415525061. The next prime is 431415525197. The reversal of 431415525125 is 521525514134.

It can be written as a sum of positive squares in 8 ways, for example, as 268407922561 + 163007602564 = 518081^2 + 403742^2 .

It is not a de Polignac number, because 431415525125 - 2⁶ = 431415525061 is a prime.

It is a super-3 number, since 3×431415525125³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132741614 + ... + 132744863.

It is an arithmetic number, because the mean of its divisors is an integer number (36238904247).

Almost surely, 2^431415525125 is an apocalyptic number.

It is an amenable number.

431415525125 is a deficient number, since it is larger than the sum of its proper divisors (148406942827).

431415525125 is a wasteful number, since it uses less digits than its factorization.

431415525125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265486505 (or 265486495 counting only the distinct ones).

The product of its digits is 120000, while the sum is 38.

The spelling of 431415525125 in words is "four hundred thirty-one billion, four hundred fifteen million, five hundred twenty-five thousand, one hundred twenty-five".