507513138 has 32 divisors (see below), whose sum is σ = 1172439360. Its totient is φ = 144744960.

The previous prime is 507513131. The next prime is 507513157. The reversal of 507513138 is 831315705.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 507513099 and 507513108.

It is not an unprimeable number, because it can be changed into a prime (507513131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225043 + ... + 227286.

It is an arithmetic number, because the mean of its divisors is an integer number (36638730).

Almost surely, 2^507513138 is an apocalyptic number.

507513138 is an abundant number, since it is smaller than the sum of its proper divisors (664926222).

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

507513138 is a wasteful number, since it uses less digits than its factorization.

507513138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452362.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 507513138 is about 22528.0522460332. The cubic root of 507513138 is about 797.6562328585.

The spelling of 507513138 in words is "five hundred seven million, five hundred thirteen thousand, one hundred thirty-eight".