515286252 has 96 divisors (see below), whose sum is σ = 1523390400. Its totient is φ = 149216256.

The previous prime is 515286229. The next prime is 515286271. The reversal of 515286252 is 252682515.

It is a happy number.

515286252 is a `hidden beast` number, since 5 + 1 + 5 + 28 + 625 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13074 + ... + 34662.

It is an arithmetic number, because the mean of its divisors is an integer number (15868650).

Almost surely, 2^515286252 is an apocalyptic number.

515286252 is a gapful number since it is divisible by the number (52) 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 515286252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761695200).

515286252 is an abundant number, since it is smaller than the sum of its proper divisors (1008104148).

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

515286252 is a wasteful number, since it uses less digits than its factorization.

515286252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21632 (or 21624 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 515286252 is about 22699.9174447838. The cubic root of 515286252 is about 801.7079406618.

The spelling of 515286252 in words is "five hundred fifteen million, two hundred eighty-six thousand, two hundred fifty-two".