256313313652 has 24 divisors (see below), whose sum is σ = 489347080992. Its totient is φ = 116500893600.

The previous prime is 256313313649. The next prime is 256313313701.

256313313652 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 984127 + ... + 1217017.

It is an arithmetic number, because the mean of its divisors is an integer number (20389461708).

Almost surely, 2^256313313652 is an apocalyptic number.

256313313652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256313313652 is a deficient number, since it is larger than the sum of its proper divisors (233033767340).

256313313652 is a wasteful number, since it uses less digits than its factorization.

256313313652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257919 (or 257917 counting only the distinct ones).

The product of its digits is 291600, while the sum is 40.

It can be divided in two parts, 256313 and 313652, that added together give a palindrome (569965).

The spelling of 256313313652 in words is "two hundred fifty-six billion, three hundred thirteen million, three hundred thirteen thousand, six hundred fifty-two".