431521823101825 has 24 divisors (see below), whose sum is σ = 551829159161720. Its totient is φ = 334493533670400.

The previous prime is 431521823101807. The next prime is 431521823101841. The reversal of 431521823101825 is 528101328125134.

It can be written as a sum of positive squares in 12 ways, for example, as 4658414288896 + 426863408812929 = 2158336^2 + 20660673^2 .

It is not a de Polignac number, because 431521823101825 - 2⁵ = 431521823101793 is a prime.

It is a super-2 number, since 2×431521823101825² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967640310 + ... + 968086159.

Almost surely, 2^{431521823101825} is an apocalyptic number.

It is an amenable number.

431521823101825 is a deficient number, since it is larger than the sum of its proper divisors (120307336059895).

431521823101825 is a wasteful number, since it uses less digits than its factorization.

431521823101825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935726757 (or 1935726752 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 431521823101825 in words is "four hundred thirty-one trillion, five hundred twenty-one billion, eight hundred twenty-three million, one hundred one thousand, eight hundred twenty-five".