507329130 has 128 divisors (see below), whose sum is σ = 1607454720. Its totient is φ = 99210240.

The previous prime is 507329111. The next prime is 507329143. The reversal of 507329130 is 31923705.

It is a super-2 number, since 2×507329130² = 514765692293113800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 32811 + ... + 45729.

It is an arithmetic number, because the mean of its divisors is an integer number (12558240).

Almost surely, 2^507329130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507329130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803727360).

507329130 is an abundant number, since it is smaller than the sum of its proper divisors (1100125590).

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

507329130 is a wasteful number, since it uses less digits than its factorization.

507329130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12964.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 507329130 is about 22523.9679008828. The cubic root of 507329130 is about 797.5598196760.

The spelling of 507329130 in words is "five hundred seven million, three hundred twenty-nine thousand, one hundred thirty".