507064268512 has 96 divisors (see below), whose sum is σ = 1063800912384. Its totient is φ = 237398515200.

The previous prime is 507064268471. The next prime is 507064268551. The reversal of 507064268512 is 215862460705.

It is a super-2 number, since 2×507064268512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9446293 + ... + 9499819.

It is an arithmetic number, because the mean of its divisors is an integer number (11081259504).

Almost surely, 2^507064268512 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 507064268512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531900456192).

507064268512 is an abundant number, since it is smaller than the sum of its proper divisors (556736643872).

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

507064268512 is a wasteful number, since it uses less digits than its factorization.

507064268512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53832 (or 53824 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 507064268512 in words is "five hundred seven billion, sixty-four million, two hundred sixty-eight thousand, five hundred twelve".