431633027681 has 2 divisors, whose sum is σ = 431633027682. Its totient is φ = 431633027680.

The previous prime is 431633027659. The next prime is 431633027689. The reversal of 431633027681 is 186720336134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429560957281 + 2072070400 = 655409^2 + 45520^2 .

It is a cyclic number.

It is not a de Polignac number, because 431633027681 - 2¹⁸ = 431632765537 is a prime.

It is a super-2 number, since 2×431633027681² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (431633027689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215816513840 + 215816513841.

It is an arithmetic number, because the mean of its divisors is an integer number (215816513841).

Almost surely, 2^431633027681 is an apocalyptic number.

It is an amenable number.

431633027681 is a deficient number, since it is larger than the sum of its proper divisors (1).

431633027681 is an equidigital number, since it uses as much as digits as its factorization.

431633027681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 431633027681 in words is "four hundred thirty-one billion, six hundred thirty-three million, twenty-seven thousand, six hundred eighty-one".