253251152352 has 144 divisors (see below), whose sum is σ = 793433899440. Its totient is φ = 75982848000.

The previous prime is 253251152347. The next prime is 253251152383.

253251152352 is a `hidden beast` number, since 2 + 5 + 3 + 251 + 1 + 52 + 352 = 666.

253251152352 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×253251152352² (a number of 24 digits) 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75777 + ... + 715712.

It is an arithmetic number, because the mean of its divisors is an integer number (5509957635).

Almost surely, 2^253251152352 is an apocalyptic number.

253251152352 is a gapful number since it is divisible by the number (22) 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 253251152352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396716949720).

253251152352 is an abundant number, since it is smaller than the sum of its proper divisors (540182747088).

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

253251152352 is a wasteful number, since it uses less digits than its factorization.

253251152352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791617 (or 791606 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The spelling of 253251152352 in words is "two hundred fifty-three billion, two hundred fifty-one million, one hundred fifty-two thousand, three hundred fifty-two".