506252152 has 64 divisors (see below), whose sum is σ = 1108477440. Its totient is φ = 212284800.

The previous prime is 506252143. The next prime is 506252161. The reversal of 506252152 is 251252605.

It is an interprime number because it is at equal distance from previous prime (506252143) and next prime (506252161).

It is a super-2 number, since 2×506252152² = 512582482809262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 506252152.

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, 623827 + ... + 624637.

It is an arithmetic number, because the mean of its divisors is an integer number (17319960).

Almost surely, 2^506252152 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 506252152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554238720).

506252152 is an abundant number, since it is smaller than the sum of its proper divisors (602225288).

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

506252152 is a wasteful number, since it uses less digits than its factorization.

506252152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 506252152 is about 22500.0478221714. The cubic root of 506252152 is about 796.9950561897.

The spelling of 506252152 in words is "five hundred six million, two hundred fifty-two thousand, one hundred fifty-two".