125257672193 has 2 divisors, whose sum is σ = 125257672194. Its totient is φ = 125257672192.

The previous prime is 125257672123. The next prime is 125257672213. The reversal of 125257672193 is 391276752521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76006078864 + 49251593329 = 275692^2 + 221927^2 .

It is an emirp because it is prime and its reverse (391276752521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125257672193 - 2²⁰ = 125256623617 is a prime.

It is not a weakly prime, because it can be changed into another prime (125257672123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62628836096 + 62628836097.

It is an arithmetic number, because the mean of its divisors is an integer number (62628836097).

Almost surely, 2^125257672193 is an apocalyptic number.

It is an amenable number.

125257672193 is a deficient number, since it is larger than the sum of its proper divisors (1).

125257672193 is an equidigital number, since it uses as much as digits as its factorization.

125257672193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1587600, while the sum is 50.

The spelling of 125257672193 in words is "one hundred twenty-five billion, two hundred fifty-seven million, six hundred seventy-two thousand, one hundred ninety-three".