252525000 has 384 divisors, whose sum is σ = 997436160. Its totient is φ = 51840000.

The previous prime is 252524983. The next prime is 252525059. The reversal of 252525000 is 525252.

252525000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6824982 + ... + 6825018.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^252525000 is an apocalyptic number.

252525000 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 252525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498718080).

252525000 is an abundant number, since it is smaller than the sum of its proper divisors (744911160).

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

252525000 is a wasteful number, since it uses less digits than its factorization.

252525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 252525000 is about 15891.0352085696. The cubic root of 252525000 is about 632.0742915925.

The spelling of 252525000 in words is "two hundred fifty-two million, five hundred twenty-five thousand".