252751000 has 64 divisors (see below), whose sum is σ = 594902880. Its totient is φ = 100508800.

The previous prime is 252750997. The next prime is 252751021. The reversal of 252751000 is 157252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196359 + ... + 197641.

Almost surely, 2^252751000 is an apocalyptic number.

252751000 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 252751000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297451440).

252751000 is an abundant number, since it is smaller than the sum of its proper divisors (342151880).

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

252751000 is a wasteful number, since it uses less digits than its factorization.

252751000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 252751000 is about 15898.1445458267. The cubic root of 252751000 is about 632.2627959602.

The spelling of 252751000 in words is "two hundred fifty-two million, seven hundred fifty-one thousand".