253155168 has 108 divisors (see below), whose sum is σ = 837493020. Its totient is φ = 72326016.

The previous prime is 253155157. The next prime is 253155169. The reversal of 253155168 is 861551352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253155169) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5143 + ... + 23081.

It is an arithmetic number, because the mean of its divisors is an integer number (7754565).

Almost surely, 2^253155168 is an apocalyptic number.

253155168 is a gapful number since it is divisible by the number (28) 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 253155168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418746510).

253155168 is an abundant number, since it is smaller than the sum of its proper divisors (584337852).

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

253155168 is a wasteful number, since it uses less digits than its factorization.

253155168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17969 (or 17951 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 253155168 is about 15910.8506372224. The cubic root of 253155168 is about 632.5996285228.

The spelling of 253155168 in words is "two hundred fifty-three million, one hundred fifty-five thousand, one hundred sixty-eight".