252001000 has 32 divisors (see below), whose sum is σ = 589684680. Its totient is φ = 100800000.

The previous prime is 252000967. The next prime is 252001019. The reversal of 252001000 is 100252.

252001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 69588964 + 182412036 = 8342^2 + 13506^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125001 + ... + 127000.

Almost surely, 2^252001000 is an apocalyptic number.

252001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252001000 is an abundant number, since it is smaller than the sum of its proper divisors (337683680).

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

252001000 is a wasteful number, since it uses less digits than its factorization.

252001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252022 (or 252008 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 252001000 is about 15874.5393633957. The cubic root of 252001000 is about 631.6367952618.

Adding to 252001000 its reverse (100252), we get a palindrome (252101252).

The spelling of 252001000 in words is "two hundred fifty-two million, one thousand".