431431076104561 has 9 divisors (see below), whose sum is σ = 467171220953739. Its totient is φ = 398243820999336.

The previous prime is 431431076104531. The next prime is 431431076104573. The reversal of 431431076104561 is 165401670134134.

The square root of 431431076104561 is 20770919.

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

It can be written as a sum of positive squares in only one way, i.e., 63821165104225 + 367609911000336 = 7988815^2 + 19173156^2 .

It is not a de Polignac number, because 431431076104561 - 2⁵ = 431431076104529 is a prime.

It is a super-2 number, since 2×431431076104561² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431431076104531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 269223066 + ... + 270820828.

Almost surely, 2^{431431076104561} is an apocalyptic number.

431431076104561 is the 20770919-th square number.

431431076104561 is the 10385460-th centered octagonal number.

It is an amenable number.

431431076104561 is a deficient number, since it is larger than the sum of its proper divisors (35740144849178).

431431076104561 is an frugal number, since it uses more digits than its factorization.

431431076104561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195552 (or 1597776 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 431431076104561 in words is "four hundred thirty-one trillion, four hundred thirty-one billion, seventy-six million, one hundred four thousand, five hundred sixty-one".