125257192793 has 2 divisors, whose sum is σ = 125257192794. Its totient is φ = 125257192792.

The previous prime is 125257192763. The next prime is 125257192799. The reversal of 125257192793 is 397291752521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92237941849 + 33019250944 = 303707^2 + 181712^2 .

It is a cyclic number.

It is not a de Polignac number, because 125257192793 - 2¹⁰ = 125257191769 is a prime.

It is a super-2 number, since 2×125257192793² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (125257192799) 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, 62628596396 + 62628596397.

It is an arithmetic number, because the mean of its divisors is an integer number (62628596397).

Almost surely, 2^125257192793 is an apocalyptic number.

It is an amenable number.

125257192793 is a deficient number, since it is larger than the sum of its proper divisors (1).

125257192793 is an equidigital number, since it uses as much as digits as its factorization.

125257192793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2381400, while the sum is 53.

The spelling of 125257192793 in words is "one hundred twenty-five billion, two hundred fifty-seven million, one hundred ninety-two thousand, seven hundred ninety-three".