51012520713025 has 81 divisors (see below), whose sum is σ = 66695558471689. Its totient is φ = 38701922395840.

The previous prime is 51012520712941. The next prime is 51012520713079. The reversal of 51012520713025 is 52031702521015.

The square root of 51012520713025 is 7142305.

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 5615757718081 + 45396762994944 = 2369759^2 + 6737712^2 .

It is not a de Polignac number, because 51012520713025 - 2³¹ = 51010373229377 is a prime.

It is a super-3 number, since 3×51012520713025³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

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, 142096157796 + ... + 142096158154.

Almost surely, 2^{51012520713025} is an apocalyptic number.

51012520713025 is the 7142305-th square number.

51012520713025 is the 3571153-rd centered octagonal number.

It is an amenable number.

51012520713025 is a deficient number, since it is larger than the sum of its proper divisors (15683037758664).

51012520713025 is an frugal number, since it uses more digits than its factorization.

51012520713025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 51012520713025 in words is "fifty-one trillion, twelve billion, five hundred twenty million, seven hundred thirteen thousand, twenty-five".