6400557513 has 48 divisors (see below), whose sum is σ = 10715542656. Its totient is φ = 3605990400.

The previous prime is 6400557497. The next prime is 6400557521. The reversal of 6400557513 is 3157550046.

6400557513 is a `hidden beast` number, since 640 + 0 + 5 + 5 + 7 + 5 + 1 + 3 = 666.

It is not a de Polignac number, because 6400557513 - 2⁴ = 6400557497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6400557563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1727563 + ... + 1731263.

It is an arithmetic number, because the mean of its divisors is an integer number (223240472).

Almost surely, 2^6400557513 is an apocalyptic number.

6400557513 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6400557513 is a deficient number, since it is larger than the sum of its proper divisors (4314985143).

6400557513 is a wasteful number, since it uses less digits than its factorization.

6400557513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 6400557513 is about 80003.4843803693. The cubic root of 6400557513 is about 1856.6894432572.

The spelling of 6400557513 in words is "six billion, four hundred million, five hundred fifty-seven thousand, five hundred thirteen".