507264930112 has 224 divisors, whose sum is σ = 1116018908928. Its totient is φ = 227765551104.

The previous prime is 507264930059. The next prime is 507264930113. The reversal of 507264930112 is 211039462705.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507264930113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524575453 + ... + 524576419.

It is an arithmetic number, because the mean of its divisors is an integer number (4982227272).

Almost surely, 2^507264930112 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 507264930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558009454464).

507264930112 is an abundant number, since it is smaller than the sum of its proper divisors (608753978816).

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

507264930112 is a wasteful number, since it uses less digits than its factorization.

507264930112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 507264930112 in words is "five hundred seven billion, two hundred sixty-four million, nine hundred thirty thousand, one hundred twelve".