431936813961 has 27 divisors (see below), whose sum is σ = 632783361717. Its totient is φ = 283918608000.

The previous prime is 431936813929. The next prime is 431936813989. The reversal of 431936813961 is 169318639134.

The square root of 431936813961 is 657219.

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

431936813961 is a `hidden beast` number, since 4 + 3 + 193 + 68 + 1 + 396 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4817054025 + 427119759936 = 69405^2 + 653544^2 .

It is not a de Polignac number, because 431936813961 - 2⁵ = 431936813929 is a prime.

It is a super-2 number, since 2×431936813961² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431936813898 and 431936813907.

It is not an unprimeable number, because it can be changed into a prime (431936813921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143929461 + ... + 143932461.

Almost surely, 2^431936813961 is an apocalyptic number.

431936813961 is the 657219-th square number.

431936813961 is the 328610-th centered octagonal number.

It is an amenable number.

431936813961 is a deficient number, since it is larger than the sum of its proper divisors (200846547756).

431936813961 is an frugal number, since it uses more digits than its factorization.

431936813961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 3077 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 431936813961 in words is "four hundred thirty-one billion, nine hundred thirty-six million, eight hundred thirteen thousand, nine hundred sixty-one".