31502051242049 has 2 divisors, whose sum is σ = 31502051242050. Its totient is φ = 31502051242048.

The previous prime is 31502051242007. The next prime is 31502051242111. The reversal of 31502051242049 is 94024215020513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31030915891600 + 471135350449 = 5570540^2 + 686393^2 .

It is a cyclic number.

It is not a de Polignac number, because 31502051242049 - 2²⁰ = 31502050193473 is a prime.

It is not a weakly prime, because it can be changed into another prime (31502051247049) 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, 15751025621024 + 15751025621025.

It is an arithmetic number, because the mean of its divisors is an integer number (15751025621025).

Almost surely, 2^{31502051242049} is an apocalyptic number.

It is an amenable number.

31502051242049 is a deficient number, since it is larger than the sum of its proper divisors (1).

31502051242049 is an equidigital number, since it uses as much as digits as its factorization.

31502051242049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 31502051242049 in words is "thirty-one trillion, five hundred two billion, fifty-one million, two hundred forty-two thousand, forty-nine".