125177978025 has 81 divisors (see below), whose sum is σ = 227398562469. Its totient is φ = 65824712640.

The previous prime is 125177978017. The next prime is 125177978033. The reversal of 125177978025 is 520879771521.

The square root of 125177978025 is 353805.

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

125177978025 is a `hidden beast` number, since 12 + 517 + 7 + 97 + 8 + 0 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (125177978017) and next prime (125177978033).

It can be written as a sum of positive squares in 4 ways, for example, as 17084319849 + 108093658176 = 130707^2 + 328776^2 .

It is not a de Polignac number, because 125177978025 - 2³ = 125177978017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 546628611 + ... + 546628839.

Almost surely, 2^125177978025 is an apocalyptic number.

125177978025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125177978025 is the 353805-th square number.

125177978025 is the 176903-rd centered octagonal number.

It is an amenable number.

125177978025 is a deficient number, since it is larger than the sum of its proper divisors (102220584444).

125177978025 is an equidigital number, since it uses as much as digits as its factorization.

125177978025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 54.

The spelling of 125177978025 in words is "one hundred twenty-five billion, one hundred seventy-seven million, nine hundred seventy-eight thousand, twenty-five".