256331051145 has 128 divisors (see below), whose sum is σ = 523863244800. Its totient is φ = 117867052800.

The previous prime is 256331051143. The next prime is 256331051147. The reversal of 256331051145 is 541150133652.

256331051145 is a `hidden beast` number, since 2 + 5 + 633 + 1 + 0 + 5 + 1 + 14 + 5 = 666.

256331051145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256331051143) and next prime (256331051147).

It is not a de Polignac number, because 256331051145 - 2¹ = 256331051143 is a prime.

It is a super-2 number, since 2×256331051145² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256331051143) 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 127 ways as a sum of consecutive naturals, for example, 2313360 + ... + 2421630.

It is an arithmetic number, because the mean of its divisors is an integer number (4092681600).

Almost surely, 2^256331051145 is an apocalyptic number.

It is an amenable number.

256331051145 is an abundant number, since it is smaller than the sum of its proper divisors (267532193655).

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

256331051145 is a wasteful number, since it uses less digits than its factorization.

256331051145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108388 (or 108382 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 256331051145 its reverse (541150133652), we get a palindrome (797481184797).

It can be divided in two parts, 25633 and 1051145, that added together give a triangular number (1076778 = T₁₄₆₇).

The spelling of 256331051145 in words is "two hundred fifty-six billion, three hundred thirty-one million, fifty-one thousand, one hundred forty-five".