253553216 has 56 divisors (see below), whose sum is σ = 593604096. Its totient is φ = 105154560.

The previous prime is 253553207. The next prime is 253553221. The reversal of 253553216 is 612355352.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4760 + ... + 23016.

Almost surely, 2^253553216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296802048).

253553216 is an abundant number, since it is smaller than the sum of its proper divisors (340050880).

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

253553216 is a wasteful number, since it uses less digits than its factorization.

253553216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18307 (or 18297 counting only the distinct ones).

The product of its digits is 27000, while the sum is 32.

The square root of 253553216 is about 15923.3544204731. The cubic root of 253553216 is about 632.9310104694.

The spelling of 253553216 in words is "two hundred fifty-three million, five hundred fifty-three thousand, two hundred sixteen".