431725627025 has 96 divisors (see below), whose sum is σ = 678256588800. Its totient is φ = 264775104000.

The previous prime is 431725627019. The next prime is 431725627111. The reversal of 431725627025 is 520726527134.

It is not a de Polignac number, because 431725627025 - 2⁸ = 431725626769 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135293180 + ... + 135296370.

It is an arithmetic number, because the mean of its divisors is an integer number (7065172800).

Almost surely, 2^431725627025 is an apocalyptic number.

It is an amenable number.

431725627025 is a deficient number, since it is larger than the sum of its proper divisors (246530961775).

431725627025 is a wasteful number, since it uses less digits than its factorization.

431725627025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 431725627025 in words is "four hundred thirty-one billion, seven hundred twenty-five million, six hundred twenty-seven thousand, twenty-five".