23075129025 has 243 divisors, whose sum is σ = 48413489787. Its totient is φ = 10499673600.

The previous prime is 23075128997. The next prime is 23075129053. The reversal of 23075129025 is 52092157032.

The square root of 23075129025 is 151905.

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

23075129025 is a `hidden beast` number, since 2 + 30 + 7 + 512 + 90 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (23075128997) and next prime (23075129053).

It can be written as a sum of positive squares in 13 ways, for example, as 20911762881 + 2163366144 = 144609^2 + 46512^2 .

It is not a de Polignac number, because 23075129025 - 2¹⁹ = 23074604737 is a prime.

It is a Curzon number.

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 242 ways as a sum of consecutive naturals, for example, 562808005 + ... + 562808045.

Almost surely, 2^23075129025 is an apocalyptic number.

23075129025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23075129025 is the 151905-th square number.

23075129025 is the 75953-rd centered octagonal number.

It is an amenable number.

23075129025 is an abundant number, since it is smaller than the sum of its proper divisors (25338360762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23075129025 is a wasteful number, since it uses less digits than its factorization.

23075129025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 23075129025 by its sum of digits (36), we get a square (830704644900 = 911430²).

It can be divided in two parts, 23075 and 129025, that added together give a square (152100 = 390²).

The spelling of 23075129025 in words is "twenty-three billion, seventy-five million, one hundred twenty-nine thousand, twenty-five".