253813560 has 256 divisors, whose sum is σ = 1022837760. Its totient is φ = 48660480.

The previous prime is 253813559. The next prime is 253813589. The reversal of 253813560 is 65318352.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 119064 + ... + 121176.

It is an arithmetic number, because the mean of its divisors is an integer number (3995460).

Almost surely, 2^253813560 is an apocalyptic number.

253813560 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 253813560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511418880).

253813560 is an abundant number, since it is smaller than the sum of its proper divisors (769024200).

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

253813560 is a wasteful number, since it uses less digits than its factorization.

253813560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 253813560 is about 15931.5272337589. The cubic root of 253813560 is about 633.1475638595.

The spelling of 253813560 in words is "two hundred fifty-three million, eight hundred thirteen thousand, five hundred sixty".