252615000 has 160 divisors (see below), whose sum is σ = 861474240. Its totient is φ = 61200000.

The previous prime is 252614987. The next prime is 252615007. The reversal of 252615000 is 516252.

252615000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252615007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164235 + ... + 165765.

It is an arithmetic number, because the mean of its divisors is an integer number (5384214).

Almost surely, 2^252615000 is an apocalyptic number.

252615000 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 252615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430737120).

252615000 is an abundant number, since it is smaller than the sum of its proper divisors (608859240).

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

252615000 is a wasteful number, since it uses less digits than its factorization.

252615000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 252615000 is about 15893.8667416082. The cubic root of 252615000 is about 632.1493731744.

The spelling of 252615000 in words is "two hundred fifty-two million, six hundred fifteen thousand".