13825007506256 has 20 divisors (see below), whose sum is σ = 26792238482004. Its totient is φ = 6910881446400.

The previous prime is 13825007506231. The next prime is 13825007506283. The reversal of 13825007506256 is 65260570052831.

It can be written as a sum of positive squares in 2 ways, for example, as 12756926595856 + 1068080910400 = 3571684^2 + 1033480^2 .

It is a super-2 number, since 2×13825007506256² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 101323865 + ... + 101460216.

Almost surely, 2^{13825007506256} is an apocalyptic number.

13825007506256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13825007506256 is a deficient number, since it is larger than the sum of its proper divisors (12967230975748).

13825007506256 is a wasteful number, since it uses less digits than its factorization.

13825007506256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202788350 (or 202788344 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 13825007506256 in words is "thirteen trillion, eight hundred twenty-five billion, seven million, five hundred six thousand, two hundred fifty-six".