31072509401 has 2 divisors, whose sum is σ = 31072509402. Its totient is φ = 31072509400.

The previous prime is 31072509379. The next prime is 31072509421. The reversal of 31072509401 is 10490527013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19846047376 + 11226462025 = 140876^2 + 105955^2 .

It is a cyclic number.

It is not a de Polignac number, because 31072509401 - 2¹⁸ = 31072247257 is a prime.

It is not a weakly prime, because it can be changed into another prime (31072509421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15536254700 + 15536254701.

It is an arithmetic number, because the mean of its divisors is an integer number (15536254701).

Almost surely, 2^31072509401 is an apocalyptic number.

It is an amenable number.

31072509401 is a deficient number, since it is larger than the sum of its proper divisors (1).

31072509401 is an equidigital number, since it uses as much as digits as its factorization.

31072509401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 31072509401 in words is "thirty-one billion, seventy-two million, five hundred nine thousand, four hundred one".