256512123035 has 32 divisors (see below), whose sum is σ = 352479254400. Its totient is φ = 175548764160.

The previous prime is 256512123019. The next prime is 256512123037. The reversal of 256512123035 is 530321215652.

256512123035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256512123035 - 2⁴ = 256512123019 is a prime.

It is a super-2 number, since 2×256512123035² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 256512122986 and 256512123004.

It is not an unprimeable number, because it can be changed into a prime (256512123037) 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 31 ways as a sum of consecutive naturals, for example, 72685151 + ... + 72688679.

It is an arithmetic number, because the mean of its divisors is an integer number (11014976700).

Almost surely, 2^256512123035 is an apocalyptic number.

256512123035 is a deficient number, since it is larger than the sum of its proper divisors (95967131365).

256512123035 is a wasteful number, since it uses less digits than its factorization.

256512123035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031.

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 256512123035 its reverse (530321215652), we get a palindrome (786833338687).

The spelling of 256512123035 in words is "two hundred fifty-six billion, five hundred twelve million, one hundred twenty-three thousand, thirty-five".