252965000 has 40 divisors (see below), whose sum is σ = 592708710. Its totient is φ = 101184000.

The previous prime is 252964979. The next prime is 252965003. The reversal of 252965000 is 569252.

It can be written as a sum of positive squares in 5 ways, for example, as 2502724 + 250462276 = 1582^2 + 15826^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (252965003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20297 + ... + 30296.

Almost surely, 2^252965000 is an apocalyptic number.

252965000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252965000 is an abundant number, since it is smaller than the sum of its proper divisors (339743710).

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

252965000 is an equidigital number, since it uses as much as digits as its factorization.

252965000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50619 (or 50600 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 252965000 is about 15904.8734669597. The cubic root of 252965000 is about 632.4411876971.

The spelling of 252965000 in words is "two hundred fifty-two million, nine hundred sixty-five thousand".