125102368296889 has 9 divisors (see below), whose sum is σ = 125429157248493. Its totient is φ = 124776428630592.

The previous prime is 125102368296877. The next prime is 125102368297009. The reversal of 125102368296889 is 988692863201521.

The square root of 125102368296889 is 11184917.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6795588717225 + 118306779579664 = 2606835^2 + 10876892^2 .

It is not a de Polignac number, because 125102368296889 - 2³¹ = 125100220813241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125102368296839) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4350918337 + ... + 4350947089.

Almost surely, 2^{125102368296889} is an apocalyptic number.

125102368296889 is the 11184917-th square number.

125102368296889 is the 5592459-th centered octagonal number.

It is an amenable number.

125102368296889 is a deficient number, since it is larger than the sum of its proper divisors (326788951604).

125102368296889 is an frugal number, since it uses more digits than its factorization.

125102368296889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58284 (or 29142 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 70.

The spelling of 125102368296889 in words is "one hundred twenty-five trillion, one hundred two billion, three hundred sixty-eight million, two hundred ninety-six thousand, eight hundred eighty-nine".