51005964025 has 27 divisors (see below), whose sum is σ = 67211975719. Its totient is φ = 38390036480.

The previous prime is 51005964017. The next prime is 51005964043. The reversal of 51005964025 is 52046950015.

The square root of 51005964025 is 225845.

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 10780045929 + 40225918096 = 103827^2 + 200564^2 .

It is not a de Polignac number, because 51005964025 - 2³ = 51005964017 is a prime.

It is a super-2 number, since 2×51005964025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19195497 + ... + 19198153.

Almost surely, 2^51005964025 is an apocalyptic number.

51005964025 is the 225845-th square number.

51005964025 is the 112923-rd centered octagonal number.

It is an amenable number.

51005964025 is a deficient number, since it is larger than the sum of its proper divisors (16206011694).

51005964025 is an frugal number, since it uses more digits than its factorization.

51005964025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 51005964025 in words is "fifty-one billion, five million, nine hundred sixty-four thousand, twenty-five".