507005080 has 64 divisors (see below), whose sum is σ = 1189311840. Its totient is φ = 194337792.

The previous prime is 507005069. The next prime is 507005087. The reversal of 507005080 is 80500705.

It is a super-2 number, since 2×507005080² = 514108302291612800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507005087) 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, 96604 + ... + 101716.

Almost surely, 2^507005080 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 507005080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594655920).

507005080 is an abundant number, since it is smaller than the sum of its proper divisors (682306760).

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

507005080 is a wasteful number, since it uses less digits than its factorization.

507005080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 507005080 is about 22516.7733034731. The cubic root of 507005080 is about 797.3899731268.

Adding to 507005080 its reverse (80500705), we get a palindrome (587505785).

The spelling of 507005080 in words is "five hundred seven million, five thousand, eighty".