51630504880969 has 27 divisors (see below), whose sum is σ = 61729314096807. Its totient is φ = 43057092942864.

The previous prime is 51630504880957. The next prime is 51630504880979. The reversal of 51630504880969 is 96908840503615.

The square root of 51630504880969 is 7185437.

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

It can be written as a sum of positive squares in only one way, i.e., 46199684791225 + 5430820089744 = 6797035^2 + 2330412^2 .

It is not a de Polignac number, because 51630504880969 - 2⁹ = 51630504880457 is a prime.

It is a super-2 number, since 2×51630504880969² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51630504880969.

It is not an unprimeable number, because it can be changed into a prime (51630504880939) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1861014312 + ... + 1861042054.

Almost surely, 2^{51630504880969} is an apocalyptic number.

51630504880969 is the 7185437-th square number.

51630504880969 is the 3592719-th centered octagonal number.

It is an amenable number.

51630504880969 is a deficient number, since it is larger than the sum of its proper divisors (10098809215838).

51630504880969 is an frugal number, since it uses more digits than its factorization.

51630504880969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55574 (or 27787 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 64.

The spelling of 51630504880969 in words is "fifty-one trillion, six hundred thirty billion, five hundred four million, eight hundred eighty thousand, nine hundred sixty-nine".