253149672832 has 64 divisors (see below), whose sum is σ = 576940845600. Its totient is φ = 108384804864.

The previous prime is 253149672803. The next prime is 253149672833. The reversal of 253149672832 is 238276941352.

It is a happy number.

253149672832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 253149672832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253149672833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764058 + ... + 1044070.

Almost surely, 2^253149672832 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 253149672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288470422800).

253149672832 is an abundant number, since it is smaller than the sum of its proper divisors (323791172768).

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

253149672832 is a wasteful number, since it uses less digits than its factorization.

253149672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281043 (or 281031 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 253149672832 in words is "two hundred fifty-three billion, one hundred forty-nine million, six hundred seventy-two thousand, eight hundred thirty-two".