5120118025 has 27 divisors (see below), whose sum is σ = 6983962069. Its totient is φ = 3720860000.

The previous prime is 5120117993. The next prime is 5120118041. The reversal of 5120118025 is 5208110215.

The square root of 5120118025 is 71555.

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 3082137289 + 2037980736 = 55517^2 + 45144^2 .

It is not a de Polignac number, because 5120118025 - 2⁵ = 5120117993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3934875 + ... + 3936175.

Almost surely, 2^5120118025 is an apocalyptic number.

5120118025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5120118025 is the 71555-th square number.

5120118025 is the 35778-th centered octagonal number.

It is an amenable number.

5120118025 is a deficient number, since it is larger than the sum of its proper divisors (1863844044).

5120118025 is an equidigital number, since it uses as much as digits as its factorization.

5120118025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The cubic root of 5120118025 is about 1723.5609955255.

Multiplying 5120118025 by its sum of digits (25), we get a square (128002950625 = 357775²).

5120118025 divided by its sum of digits (25) gives a square (204804721 = 14311²).

The spelling of 5120118025 in words is "five billion, one hundred twenty million, one hundred eighteen thousand, twenty-five".