125967310752013 has 2 divisors, whose sum is σ = 125967310752014. Its totient is φ = 125967310752012.

The previous prime is 125967310751987. The next prime is 125967310752061. The reversal of 125967310752013 is 310257013769521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93580432995204 + 32386877756809 = 9673698^2 + 5690947^2 .

It is a cyclic number.

It is not a de Polignac number, because 125967310752013 - 2³³ = 125958720817421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125967310752313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62983655376006 + 62983655376007.

It is an arithmetic number, because the mean of its divisors is an integer number (62983655376007).

Almost surely, 2^{125967310752013} is an apocalyptic number.

It is an amenable number.

125967310752013 is a deficient number, since it is larger than the sum of its proper divisors (1).

125967310752013 is an equidigital number, since it uses as much as digits as its factorization.

125967310752013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2381400, while the sum is 52.

The spelling of 125967310752013 in words is "one hundred twenty-five trillion, nine hundred sixty-seven billion, three hundred ten million, seven hundred fifty-two thousand, thirteen".