253221484122352 has 80 divisors (see below), whose sum is σ = 497783933789184. Its totient is φ = 124773476000000.

The previous prime is 253221484122323. The next prime is 253221484122353.

It is a happy number.

253221484122352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×253221484122352² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253221484122353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 602941077 + ... + 603360907.

Almost surely, 2^{253221484122352} is an apocalyptic number.

It is an amenable number.

253221484122352 is a deficient number, since it is larger than the sum of its proper divisors (244562449666832).

253221484122352 is a wasteful number, since it uses less digits than its factorization.

253221484122352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421678 (or 421672 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 46.

The spelling of 253221484122352 in words is "two hundred fifty-three trillion, two hundred twenty-one billion, four hundred eighty-four million, one hundred twenty-two thousand, three hundred fifty-two".