6407013130 has 48 divisors (see below), whose sum is σ = 13441786056. Its totient is φ = 2192386560.

The previous prime is 6407013113. The next prime is 6407013131. The reversal of 6407013130 is 313107046.

It can be written as a sum of positive squares in 4 ways, for example, as 3864735889 + 2542277241 = 62167^2 + 50421^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6407013095 and 6407013104.

It is not an unprimeable number, because it can be changed into a prime (6407013131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242742 + ... + 267838.

Almost surely, 2^6407013130 is an apocalyptic number.

6407013130 is an abundant number, since it is smaller than the sum of its proper divisors (7034772926).

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

6407013130 is a wasteful number, since it uses less digits than its factorization.

6407013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25639 (or 25632 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 6407013130 is about 80043.8200612639. The cubic root of 6407013130 is about 1857.3134539228.

The spelling of 6407013130 in words is "six billion, four hundred seven million, thirteen thousand, one hundred thirty".