253002568 has 64 divisors (see below), whose sum is σ = 618226560. Its totient is φ = 94196736.

The previous prime is 253002521. The next prime is 253002601. The reversal of 253002568 is 865200352.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2155 + ... + 22597.

It is an arithmetic number, because the mean of its divisors is an integer number (9659790).

Almost surely, 2^253002568 is an apocalyptic number.

253002568 is a gapful number since it is divisible by the number (28) 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 253002568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309113280).

253002568 is an abundant number, since it is smaller than the sum of its proper divisors (365223992).

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

253002568 is a wasteful number, since it uses less digits than its factorization.

253002568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20486 (or 20482 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 253002568 is about 15906.0544447704. The cubic root of 253002568 is about 632.4724942342.

The spelling of 253002568 in words is "two hundred fifty-three million, two thousand, five hundred sixty-eight".