253655383556352 has 72 divisors (see below), whose sum is σ = 681777325998720. Its totient is φ = 83714648012800.

The previous prime is 253655383556339. The next prime is 253655383556353.

253655383556352 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (253655383556353) 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, 1634974152 + ... + 1635129287.

It is an arithmetic number, because the mean of its divisors is an integer number (9469129527760).

Almost surely, 2^{253655383556352} is an apocalyptic number.

It is an amenable number.

253655383556352 is an abundant number, since it is smaller than the sum of its proper divisors (428121942442368).

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

253655383556352 is a wasteful number, since it uses less digits than its factorization.

253655383556352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270103559 (or 3270103545 counting only the distinct ones).

The product of its digits is 1458000000, while the sum is 66.

The spelling of 253655383556352 in words is "two hundred fifty-three trillion, six hundred fifty-five billion, three hundred eighty-three million, five hundred fifty-six thousand, three hundred fifty-two".