507321312 has 48 divisors (see below), whose sum is σ = 1342236672. Its totient is φ = 167771520.

The previous prime is 507321307. The next prime is 507321313. The reversal of 507321312 is 213123705.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507321313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8614 + ... + 32997.

It is an arithmetic number, because the mean of its divisors is an integer number (27963264).

Almost surely, 2^507321312 is an apocalyptic number.

It is an amenable number.

507321312 is an abundant number, since it is smaller than the sum of its proper divisors (834915360).

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

507321312 is a wasteful number, since it uses less digits than its factorization.

507321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41751 (or 41743 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 507321312 is about 22523.7943517517. The cubic root of 507321312 is about 797.5557228256. Note that the first 3 decimals are identical.

The spelling of 507321312 in words is "five hundred seven million, three hundred twenty-one thousand, three hundred twelve".