256725373741335 has 40 divisors (see below), whose sum is σ = 466685749876896. Its totient is φ = 134991745801920.

The previous prime is 256725373741307. The next prime is 256725373741363. The reversal of 256725373741335 is 533147373527652.

It is a happy number.

256725373741335 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 253 + 7 + 3 + 7 + 41 + 335 = 666.

It is an interprime number because it is at equal distance from previous prime (256725373741307) and next prime (256725373741363).

It is not a de Polignac number, because 256725373741335 - 2⁸ = 256725373741079 is a prime.

It is a super-3 number, since 3×256725373741335³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4463984004 + ... + 4464041513.

Almost surely, 2^{256725373741335} is an apocalyptic number.

256725373741335 is a deficient number, since it is larger than the sum of its proper divisors (209960376135561).

256725373741335 is an equidigital number, since it uses as much as digits as its factorization.

256725373741335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928025605 (or 8928025596 counting only the distinct ones).

The product of its digits is 333396000, while the sum is 63.

The spelling of 256725373741335 in words is "two hundred fifty-six trillion, seven hundred twenty-five billion, three hundred seventy-three million, seven hundred forty-one thousand, three hundred thirty-five".