256413141314652 has 48 divisors (see below), whose sum is σ = 702248603248640. Its totient is φ = 71280873260352.

The previous prime is 256413141314651. The next prime is 256413141314753.

256413141314652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×256413141314652² (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 (256413141314651) 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, 41250502252 + ... + 41250508467.

Almost surely, 2^{256413141314652} is an apocalyptic number.

It is an amenable number.

256413141314652 is an abundant number, since it is smaller than the sum of its proper divisors (445835461933988).

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

256413141314652 is a wasteful number, since it uses less digits than its factorization.

256413141314652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82501010770 (or 82501010768 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 256413141314652 in words is "two hundred fifty-six trillion, four hundred thirteen billion, one hundred forty-one million, three hundred fourteen thousand, six hundred fifty-two".