253533168 has 120 divisors (see below), whose sum is σ = 819579488. Its totient is φ = 71663616.

The previous prime is 253533149. The next prime is 253533173. The reversal of 253533168 is 861335352.

It is a super-2 number, since 2×253533168² = 128558134552232448, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96480 + ... + 99072.

Almost surely, 2^253533168 is an apocalyptic number.

253533168 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 253533168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409789744).

253533168 is an abundant number, since it is smaller than the sum of its proper divisors (566046320).

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

253533168 is a wasteful number, since it uses less digits than its factorization.

253533168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2702 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 253533168 is about 15922.7248924297. The cubic root of 253533168 is about 632.9143284548.

The spelling of 253533168 in words is "two hundred fifty-three million, five hundred thirty-three thousand, one hundred sixty-eight".