252526000 has 80 divisors (see below), whose sum is σ = 630459648. Its totient is φ = 97728000.

The previous prime is 252525991. The next prime is 252526009. The reversal of 252526000 is 625252.

It is an interprime number because it is at equal distance from previous prime (252525991) and next prime (252526009).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (252526009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59964 + ... + 64036.

Almost surely, 2^252526000 is an apocalyptic number.

252526000 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 252526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315229824).

252526000 is an abundant number, since it is smaller than the sum of its proper divisors (377933648).

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

252526000 is a wasteful number, since it uses less digits than its factorization.

252526000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 252526000 is about 15891.0666728197. The cubic root of 252526000 is about 632.0751259303.

The spelling of 252526000 in words is "two hundred fifty-two million, five hundred twenty-six thousand".