253581120 has 252 divisors, whose sum is σ = 946280556. Its totient is φ = 62300160.

The previous prime is 253581077. The next prime is 253581127. The reversal of 253581120 is 21185352.

It is a happy number.

253581120 is a `hidden beast` number, since 2 + 535 + 8 + 1 + 120 = 666.

253581120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 74235456 + 179345664 = 8616^2 + 13392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253581127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486460 + ... + 486980.

Almost surely, 2^253581120 is an apocalyptic number.

253581120 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 253581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473140278).

253581120 is an abundant number, since it is smaller than the sum of its proper divisors (692699436).

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

253581120 is a wasteful number, since it uses less digits than its factorization.

253581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 253581120 is about 15924.2305936582. The cubic root of 253581120 is about 632.9542280268.

The spelling of 253581120 in words is "two hundred fifty-three million, five hundred eighty-one thousand, one hundred twenty".