252610000 has 50 divisors (see below), whose sum is σ = 611618282. Its totient is φ = 101040000.

The previous prime is 252609983. The next prime is 252610037. The reversal of 252610000 is 16252.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 151486864 + 101123136 = 12308^2 + 10056^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 2631 + ... + 22630.

Almost surely, 2^252610000 is an apocalyptic number.

252610000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252610000 is an abundant number, since it is smaller than the sum of its proper divisors (359008282).

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

252610000 is an equidigital number, since it uses as much as digits as its factorization.

252610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25289 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 252610000 is about 15893.7094474512. The cubic root of 252610000 is about 632.1452024433.

Adding to 252610000 its reverse (16252), we get a palindrome (252626252).

The spelling of 252610000 in words is "two hundred fifty-two million, six hundred ten thousand".