51398934183025 has 243 divisors, whose sum is σ = 78253290537219. Its totient is φ = 33449109408000.

The previous prime is 51398934183011. The next prime is 51398934183029. The reversal of 51398934183025 is 52038143989315.

The square root of 51398934183025 is 7169305.

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 29662042086369 + 21736892096656 = 5446287^2 + 4662284^2 .

It is a de Polignac number, because none of the positive numbers 2^k-51398934183025 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51398934183029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 189663963640 + ... + 189663963910.

Almost surely, 2^{51398934183025} is an apocalyptic number.

51398934183025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51398934183025 is the 7169305-th square number.

51398934183025 is the 3584653-rd centered octagonal number.

It is an amenable number.

51398934183025 is a deficient number, since it is larger than the sum of its proper divisors (26854356354194).

51398934183025 is a wasteful number, since it uses less digits than its factorization.

51398934183025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 51398934183025 in words is "fifty-one trillion, three hundred ninety-eight billion, nine hundred thirty-four million, one hundred eighty-three thousand, twenty-five".