252545000 has 80 divisors (see below), whose sum is σ = 603509940. Its totient is φ = 99008000.

The previous prime is 252544993. The next prime is 252545009. The reversal of 252545000 is 545252.

It can be written as a sum of positive squares in 10 ways, for example, as 11115556 + 241429444 = 3334^2 + 15538^2 .

It is not an unprimeable number, because it can be changed into a prime (252545009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 264524 + ... + 265476.

Almost surely, 2^252545000 is an apocalyptic number.

252545000 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 252545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301754970).

252545000 is an abundant number, since it is smaller than the sum of its proper divisors (350964940).

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

252545000 is an equidigital number, since it uses as much as digits as its factorization.

252545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 252545000 is about 15891.6644817338. The cubic root of 252545000 is about 632.0909779300.

The spelling of 252545000 in words is "two hundred fifty-two million, five hundred forty-five thousand".