5177953764 has 81 divisors (see below), whose sum is σ = 13361629827. Its totient is φ = 1690725168.

The previous prime is 5177953757. The next prime is 5177953783. The reversal of 5177953764 is 4673597715.

The square root of 5177953764 is 71958.

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

5177953764 is a `hidden beast` number, since 517 + 7 + 9 + 53 + 76 + 4 = 666.

It is a super-2 number, since 2×5177953764² = 53622410364243535392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5177953764.

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, 28927027 + ... + 28927205.

Almost surely, 2^5177953764 is an apocalyptic number.

5177953764 is the 71958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5177953764

5177953764 is an abundant number, since it is smaller than the sum of its proper divisors (8183676063).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5177953764 is a wasteful number, since it uses less digits than its factorization.

5177953764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its digits is 5556600, while the sum is 54.

The cubic root of 5177953764 is about 1730.0263691170.

The spelling of 5177953764 in words is "five billion, one hundred seventy-seven million, nine hundred fifty-three thousand, seven hundred sixty-four".