51526730025 has 81 divisors (see below), whose sum is σ = 95084318511. Its totient is φ = 26672820480.

The previous prime is 51526729987. The next prime is 51526730039. The reversal of 51526730025 is 52003762515.

The square root of 51526730025 is 226995.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12257001 + 51514473024 = 3501^2 + 226968^2 .

It is not a de Polignac number, because 51526730025 - 2¹⁹ = 51526205737 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 125982021 + ... + 125982429.

Almost surely, 2^51526730025 is an apocalyptic number.

51526730025 is the 226995-th square number.

51526730025 is the 113498-th centered octagonal number.

It is an amenable number.

51526730025 is a deficient number, since it is larger than the sum of its proper divisors (43557588486).

51526730025 is an equidigital number, since it uses as much as digits as its factorization.

51526730025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Multiplying 51526730025 by its sum of digits (36), we get a square (1854962280900 = 1361970²).

The spelling of 51526730025 in words is "fifty-one billion, five hundred twenty-six million, seven hundred thirty thousand, twenty-five".