253065120 has 384 divisors, whose sum is σ = 1024192512. Its totient is φ = 50995200.

The previous prime is 253065103. The next prime is 253065133. The reversal of 253065120 is 21560352.

It is a super-2 number, since 2×253065120² = 128083909921228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1515277 + ... + 1515443.

It is an arithmetic number, because the mean of its divisors is an integer number (2667168).

Almost surely, 2^253065120 is an apocalyptic number.

253065120 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 253065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512096256).

253065120 is an abundant number, since it is smaller than the sum of its proper divisors (771127392).

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

253065120 is a wasteful number, since it uses less digits than its factorization.

253065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 253065120 is about 15908.0206185433. The cubic root of 253065120 is about 632.5246138099.

The spelling of 253065120 in words is "two hundred fifty-three million, sixty-five thousand, one hundred twenty".