507567216 has 160 divisors (see below), whose sum is σ = 1535457280. Its totient is φ = 143078400.

The previous prime is 507567199. The next prime is 507567217. The reversal of 507567216 is 612765705.

It is a super-3 number, since 3×507567216³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507567217) 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 31 ways as a sum of consecutive naturals, for example, 366846 + ... + 368226.

It is an arithmetic number, because the mean of its divisors is an integer number (9596608).

Almost surely, 2^507567216 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 507567216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767728640).

507567216 is an abundant number, since it is smaller than the sum of its proper divisors (1027890064).

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

507567216 is a wasteful number, since it uses less digits than its factorization.

507567216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 507567216 is about 22529.2524509803. The cubic root of 507567216 is about 797.6845632395.

The spelling of 507567216 in words is "five hundred seven million, five hundred sixty-seven thousand, two hundred sixteen".