253759164 has 48 divisors (see below), whose sum is σ = 614651520. Its totient is φ = 81385920.

The previous prime is 253759159. The next prime is 253759199. The reversal of 253759164 is 461957352.

253759164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 114087 + ... + 116289.

It is an arithmetic number, because the mean of its divisors is an integer number (12805240).

Almost surely, 2^253759164 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 253759164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307325760).

253759164 is an abundant number, since it is smaller than the sum of its proper divisors (360892356).

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

253759164 is a wasteful number, since it uses less digits than its factorization.

253759164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2568 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 253759164 is about 15929.8199613178. The cubic root of 253759164 is about 633.1023296653.

The spelling of 253759164 in words is "two hundred fifty-three million, seven hundred fifty-nine thousand, one hundred sixty-four".