256753052436213 has 24 divisors (see below), whose sum is σ = 370921920475392. Its totient is φ = 171142672847328.

The previous prime is 256753052436109. The next prime is 256753052436229. The reversal of 256753052436213 is 312634250357652.

256753052436213 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 5 + 3 + 0 + 5 + 2 + 4 + 3 + 621 + 3 = 666.

It is not a de Polignac number, because 256753052436213 - 2⁹ = 256753052435701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256753052436213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256753052436313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1718222020 + ... + 1718371442.

It is an arithmetic number, because the mean of its divisors is an integer number (15455080019808).

Almost surely, 2^{256753052436213} is an apocalyptic number.

It is an amenable number.

256753052436213 is a deficient number, since it is larger than the sum of its proper divisors (114168868039179).

256753052436213 is a wasteful number, since it uses less digits than its factorization.

256753052436213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177185 (or 177182 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 256753052436213 in words is "two hundred fifty-six trillion, seven hundred fifty-three billion, fifty-two million, four hundred thirty-six thousand, two hundred thirteen".