253111320 has 384 divisors, whose sum is σ = 1072880640. Its totient is φ = 50181120.

The previous prime is 253111307. The next prime is 253111337. The reversal of 253111320 is 23111352.

253111320 is a `hidden beast` number, since 2 + 531 + 1 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 253111293 and 253111302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637362 + ... + 637758.

It is an arithmetic number, because the mean of its divisors is an integer number (2793960).

Almost surely, 2^253111320 is an apocalyptic number.

253111320 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 253111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536440320).

253111320 is an abundant number, since it is smaller than the sum of its proper divisors (819769320).

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

253111320 is a wasteful number, since it uses less digits than its factorization.

253111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 253111320 is about 15909.4726499655. The cubic root of 253111320 is about 632.5631030586.

Adding to 253111320 its reverse (23111352), we get a palindrome (276222672).

The spelling of 253111320 in words is "two hundred fifty-three million, one hundred eleven thousand, three hundred twenty".