5077656409 has 40 divisors (see below), whose sum is σ = 6190008328. Its totient is φ = 4160782080.

The previous prime is 5077656329. The next prime is 5077656443. The reversal of 5077656409 is 9046567705.

It can be written as a sum of positive squares in 4 ways, for example, as 8643600 + 5069012809 = 2940^2 + 71197^2 .

It is not a de Polignac number, because 5077656409 - 2⁷ = 5077656281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077626409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5418589 + ... + 5419525.

Almost surely, 2^5077656409 is an apocalyptic number.

It is an amenable number.

5077656409 is a deficient number, since it is larger than the sum of its proper divisors (1112351919).

5077656409 is an frugal number, since it uses more digits than its factorization.

5077656409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

The square root of 5077656409 is about 71257.6761408903. The cubic root of 5077656409 is about 1718.7832128916.

The spelling of 5077656409 in words is "five billion, seventy-seven million, six hundred fifty-six thousand, four hundred nine".