253553120 has 48 divisors (see below), whose sum is σ = 603641808. Its totient is φ = 100638720.

The previous prime is 253553101. The next prime is 253553159. The reversal of 253553120 is 21355352.

It is a self number, because there is not a number n which added to its sum of digits gives 253553120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14912 + ... + 27008.

It is an arithmetic number, because the mean of its divisors is an integer number (12575871).

Almost surely, 2^253553120 is an apocalyptic number.

253553120 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 253553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301820904).

253553120 is an abundant number, since it is smaller than the sum of its proper divisors (350088688).

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

253553120 is a wasteful number, since it uses less digits than its factorization.

253553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12243 (or 12235 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 253553120 is about 15923.3514060326. The cubic root of 253553120 is about 632.9309305896.

It can be divided in two parts, 2535 and 53120, that added together give a palindrome (55655).

The spelling of 253553120 in words is "two hundred fifty-three million, five hundred fifty-three thousand, one hundred twenty".