253651303156352 has 128 divisors (see below), whose sum is σ = 522353270102400. Its totient is φ = 122611874918400.

The previous prime is 253651303156337. The next prime is 253651303156403.

253651303156352 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 253651303156352.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1844976638 + ... + 1845114114.

It is an arithmetic number, because the mean of its divisors is an integer number (4080884922675).

Almost surely, 2^{253651303156352} 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 253651303156352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261176635051200).

253651303156352 is an abundant number, since it is smaller than the sum of its proper divisors (268701966946048).

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

253651303156352 is a wasteful number, since it uses less digits than its factorization.

253651303156352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140954 (or 140942 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 50.

The spelling of 253651303156352 in words is "two hundred fifty-three trillion, six hundred fifty-one billion, three hundred three million, one hundred fifty-six thousand, three hundred fifty-two".