507097080 has 576 divisors, whose sum is σ = 2160756000. Its totient is φ = 102187008.

The previous prime is 507097067. The next prime is 507097093. The reversal of 507097080 is 80790705.

507097080 is a `hidden beast` number, since 507 + 0 + 9 + 70 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (507097067) and next prime (507097093).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5697676 + ... + 5697764.

Almost surely, 2^507097080 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 507097080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080378000).

507097080 is an abundant number, since it is smaller than the sum of its proper divisors (1653658920).

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

507097080 is a wasteful number, since it uses less digits than its factorization.

507097080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 507097080 is about 22518.8161322926. The cubic root of 507097080 is about 797.4382010727.

The spelling of 507097080 in words is "five hundred seven million, ninety-seven thousand, eighty".