507351616 has 56 divisors (see below), whose sum is σ = 1031086584. Its totient is φ = 247603200.

The previous prime is 507351601. The next prime is 507351617. The reversal of 507351616 is 616153705.

It can be written as a sum of positive squares in 4 ways, for example, as 297217600 + 210134016 = 17240^2 + 14496^2 .

It is a super-2 number, since 2×507351616² = 514811324515622912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507351617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1265016 + ... + 1265416.

Almost surely, 2^507351616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507351616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515543292).

507351616 is an abundant number, since it is smaller than the sum of its proper divisors (523734968).

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

507351616 is a wasteful number, since it uses less digits than its factorization.

507351616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 507351616 is about 22524.4670525187. The cubic root of 507351616 is about 797.5716027337.

The spelling of 507351616 in words is "five hundred seven million, three hundred fifty-one thousand, six hundred sixteen".