123115557105025 has 45 divisors (see below), whose sum is σ = 157000789758813. Its totient is φ = 95771369563200.

The previous prime is 123115557104993. The next prime is 123115557105053. The reversal of 123115557105025 is 520501755511321.

The square root of 123115557105025 is 11095745.

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

It can be written as a sum of positive squares in 22 ways, for example, as 30300367948929 + 92815189156096 = 5504577^2 + 9634064^2 .

It is not a de Polignac number, because 123115557105025 - 2⁵ = 123115557104993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 75950373715 + ... + 75950375335.

Almost surely, 2^{123115557105025} is an apocalyptic number.

123115557105025 is the 11095745-th square number.

123115557105025 is the 5547873-rd centered octagonal number.

It is an amenable number.

123115557105025 is a deficient number, since it is larger than the sum of its proper divisors (33885232653788).

123115557105025 is an frugal number, since it uses more digits than its factorization.

123115557105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 262500, while the sum is 43.

The spelling of 123115557105025 in words is "one hundred twenty-three trillion, one hundred fifteen billion, five hundred fifty-seven million, one hundred five thousand, twenty-five".