10731507257249 has 2 divisors, whose sum is σ = 10731507257250. Its totient is φ = 10731507257248.

The previous prime is 10731507257183. The next prime is 10731507257297. The reversal of 10731507257249 is 94275270513701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10279513244224 + 451994013025 = 3206168^2 + 672305^2 .

It is a cyclic number.

It is not a de Polignac number, because 10731507257249 - 2²⁴ = 10731490480033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10731507257249.

It is not a weakly prime, because it can be changed into another prime (10731507253249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5365753628624 + 5365753628625.

It is an arithmetic number, because the mean of its divisors is an integer number (5365753628625).

Almost surely, 2^{10731507257249} is an apocalyptic number.

It is an amenable number.

10731507257249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10731507257249 is an equidigital number, since it uses as much as digits as its factorization.

10731507257249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3704400, while the sum is 53.

The spelling of 10731507257249 in words is "ten trillion, seven hundred thirty-one billion, five hundred seven million, two hundred fifty-seven thousand, two hundred forty-nine".