25050075050025 has 27 divisors (see below), whose sum is σ = 44867602224471. Its totient is φ = 13359999986640.

The previous prime is 25050075050023. The next prime is 25050075050047. The reversal of 25050075050025 is 52005057005052.

The square root of 25050075050025 is 5005005.

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

25050075050025 is a `hidden beast` number, since 2 + 50 + 50 + 0 + 7 + 50 + 500 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9018027018009 + 16032048032016 = 3003003^2 + 4004004^2 .

It is not a de Polignac number, because 25050075050025 - 2¹ = 25050075050023 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25050075050023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74908242 + ... + 75241908.

Almost surely, 2^{25050075050025} is an apocalyptic number.

25050075050025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25050075050025 is the 5005005-th square number.

25050075050025 is the 2502503-rd centered octagonal number.

It is an amenable number.

25050075050025 is a deficient number, since it is larger than the sum of its proper divisors (19817527174446).

25050075050025 is an frugal number, since it uses more digits than its factorization.

25050075050025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667350 (or 333675 counting only the distinct ones).

The product of its (nonzero) digits is 87500, while the sum is 36.

Multiplying 25050075050025 by its sum of digits (36), we get a square (901802701800900 = 30030030²).

The spelling of 25050075050025 in words is "twenty-five trillion, fifty billion, seventy-five million, fifty thousand, twenty-five".