252575620 has 48 divisors (see below), whose sum is σ = 586591488. Its totient is φ = 90581760.

The previous prime is 252575611. The next prime is 252575629. The reversal of 252575620 is 26575252.

It is an interprime number because it is at equal distance from previous prime (252575611) and next prime (252575629).

It is not an unprimeable number, because it can be changed into a prime (252575629) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8197 + ... + 23923.

It is an arithmetic number, because the mean of its divisors is an integer number (12220656).

Almost surely, 2^252575620 is an apocalyptic number.

252575620 is a gapful number since it is divisible by the number (20) 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 252575620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293295744).

252575620 is an abundant number, since it is smaller than the sum of its proper divisors (334015868).

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

252575620 is a wasteful number, since it uses less digits than its factorization.

252575620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15820 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 252575620 is about 15892.6278506734. The cubic root of 252575620 is about 632.1165230059.

The spelling of 252575620 in words is "two hundred fifty-two million, five hundred seventy-five thousand, six hundred twenty".