253569120 has 144 divisors (see below), whose sum is σ = 929235888. Its totient is φ = 57953280.

The previous prime is 253569101. The next prime is 253569139. The reversal of 253569120 is 21965352.

It is an interprime number because it is at equal distance from previous prime (253569101) and next prime (253569139).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18130 + ... + 28910.

It is an arithmetic number, because the mean of its divisors is an integer number (6453027).

Almost surely, 2^253569120 is an apocalyptic number.

253569120 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 253569120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464617944).

253569120 is an abundant number, since it is smaller than the sum of its proper divisors (675666768).

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

253569120 is a wasteful number, since it uses less digits than its factorization.

253569120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 253569120 is about 15923.8538049054. The cubic root of 253569120 is about 632.9442436209.

The spelling of 253569120 in words is "two hundred fifty-three million, five hundred sixty-nine thousand, one hundred twenty".