507012016 has 120 divisors (see below), whose sum is σ = 1184455440. Its totient is φ = 209534976.

The previous prime is 507011993. The next prime is 507012031. The reversal of 507012016 is 610210705.

It is a super-2 number, since 2×507012016² = 514122368736768512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4486776 + ... + 4486888.

It is an arithmetic number, because the mean of its divisors is an integer number (9870462).

Almost surely, 2^507012016 is an apocalyptic number.

507012016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507012016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592227720).

507012016 is an abundant number, since it is smaller than the sum of its proper divisors (677443424).

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

507012016 is a wasteful number, since it uses less digits than its factorization.

507012016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 507012016 is about 22516.9273214620. The cubic root of 507012016 is about 797.3936092979.

The spelling of 507012016 in words is "five hundred seven million, twelve thousand, sixteen".