256034411325 has 192 divisors, whose sum is σ = 620900259840. Its totient is φ = 100144512000.

The previous prime is 256034411323. The next prime is 256034411341. The reversal of 256034411325 is 523114430652.

256034411325 is a `hidden beast` number, since 2 + 5 + 603 + 4 + 4 + 11 + 32 + 5 = 666.

It is not a de Polignac number, because 256034411325 - 2¹ = 256034411323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256034411325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256034411323) 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 191 ways as a sum of consecutive naturals, for example, 738690 + ... + 1028460.

It is an arithmetic number, because the mean of its divisors is an integer number (3233855520).

Almost surely, 2^256034411325 is an apocalyptic number.

256034411325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256034411325 is an abundant number, since it is smaller than the sum of its proper divisors (364865848515).

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

256034411325 is a wasteful number, since it uses less digits than its factorization.

256034411325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289825 (or 289814 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 256034411325 its reverse (523114430652), we get a palindrome (779148841977).

The spelling of 256034411325 in words is "two hundred fifty-six billion, thirty-four million, four hundred eleven thousand, three hundred twenty-five".