252526890 has 256 divisors, whose sum is σ = 812851200. Its totient is φ = 49674240.

The previous prime is 252526871. The next prime is 252526921. The reversal of 252526890 is 98625252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2603322 + ... + 2603418.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^252526890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252526890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406425600).

252526890 is an abundant number, since it is smaller than the sum of its proper divisors (560324310).

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

252526890 is a wasteful number, since it uses less digits than its factorization.

252526890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 252526890 is about 15891.0946759498. The cubic root of 252526890 is about 632.0758684891.

The spelling of 252526890 in words is "two hundred fifty-two million, five hundred twenty-six thousand, eight hundred ninety".