507317481216 has 1728 divisors, whose sum is σ = 2035627776000. Its totient is φ = 120171921408.

The previous prime is 507317481211. The next prime is 507317481247. The reversal of 507317481216 is 612184713705.

507317481216 is a `hidden beast` number, since 507 + 3 + 17 + 4 + 8 + 121 + 6 = 666.

507317481216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507317481211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4489535176 + ... + 4489535288.

Almost surely, 2^507317481216 is an apocalyptic number.

507317481216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507317481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017813888000).

507317481216 is an abundant number, since it is smaller than the sum of its proper divisors (1528310294784).

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

507317481216 is a wasteful number, since it uses less digits than its factorization.

507317481216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 507317481216 in words is "five hundred seven billion, three hundred seventeen million, four hundred eighty-one thousand, two hundred sixteen".