506361312 has 72 divisors (see below), whose sum is σ = 1448430984. Its totient is φ = 167794944.

The previous prime is 506361299. The next prime is 506361313. The reversal of 506361312 is 213163605.

506361312 is a `hidden beast` number, since 5 + 0 + 636 + 13 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×506361312² = 512803556580722688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506361313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44743 + ... + 54905.

It is an arithmetic number, because the mean of its divisors is an integer number (20117097).

Almost surely, 2^506361312 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 506361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724215492).

506361312 is an abundant number, since it is smaller than the sum of its proper divisors (942069672).

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

506361312 is a wasteful number, since it uses less digits than its factorization.

506361312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 506361312 is about 22502.4734640439. The cubic root of 506361312 is about 797.0523357671.

The spelling of 506361312 in words is "five hundred six million, three hundred sixty-one thousand, three hundred twelve".