31545083844097 has 2 divisors, whose sum is σ = 31545083844098. Its totient is φ = 31545083844096.

The previous prime is 31545083844059. The next prime is 31545083844107. The reversal of 31545083844097 is 79044838054513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30692940694641 + 852143149456 = 5540121^2 + 923116^2 .

It is a cyclic number.

It is not a de Polignac number, because 31545083844097 - 2¹¹ = 31545083842049 is a prime.

It is a super-2 number, since 2×31545083844097² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31545083844697) 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 as a sum of consecutive naturals, namely, 15772541922048 + 15772541922049.

It is an arithmetic number, because the mean of its divisors is an integer number (15772541922049).

Almost surely, 2^{31545083844097} is an apocalyptic number.

It is an amenable number.

31545083844097 is a deficient number, since it is larger than the sum of its proper divisors (1).

31545083844097 is an equidigital number, since it uses as much as digits as its factorization.

31545083844097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58060800, while the sum is 61.

The spelling of 31545083844097 in words is "thirty-one trillion, five hundred forty-five billion, eighty-three million, eight hundred forty-four thousand, ninety-seven".