51677564929 has 9 divisors (see below), whose sum is σ = 52581948483. Its totient is φ = 50788489032.

The previous prime is 51677564909. The next prime is 51677564989. The reversal of 51677564929 is 92946577615.

The square root of 51677564929 is 227327.

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., 51195850225 + 481714704 = 226265^2 + 21948^2 .

It is not a de Polignac number, because 51677564929 - 2²⁵ = 51644010497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51677564909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13410367 + ... + 13414219.

Almost surely, 2^51677564929 is an apocalyptic number.

51677564929 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

51677564929 is the 227327-th square number.

51677564929 is the 113664-th centered octagonal number.

It is an amenable number.

51677564929 is a deficient number, since it is larger than the sum of its proper divisors (904383554).

51677564929 is an frugal number, since it uses more digits than its factorization.

51677564929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 3912 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 61.

The spelling of 51677564929 in words is "fifty-one billion, six hundred seventy-seven million, five hundred sixty-four thousand, nine hundred twenty-nine".