253551320 has 64 divisors (see below), whose sum is σ = 632966400. Its totient is φ = 90628480.

The previous prime is 253551313. The next prime is 253551391. The reversal of 253551320 is 23155352.

It is a self number, because there is not a number n which added to its sum of digits gives 253551320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21077 + ... + 30843.

It is an arithmetic number, because the mean of its divisors is an integer number (9890100).

Almost surely, 2^253551320 is an apocalyptic number.

253551320 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 253551320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316483200).

253551320 is an abundant number, since it is smaller than the sum of its proper divisors (379415080).

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

253551320 is a wasteful number, since it uses less digits than its factorization.

253551320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9844 counting only the distinct ones).

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

The square root of 253551320 is about 15923.2948851675. The cubic root of 253551320 is about 632.9294328385.

The spelling of 253551320 in words is "two hundred fifty-three million, five hundred fifty-one thousand, three hundred twenty".