256008038085 has 24 divisors (see below), whose sum is σ = 443917033560. Its totient is φ = 136485384192.

The previous prime is 256008038059. The next prime is 256008038101. The reversal of 256008038085 is 580830800652.

It is a happy number.

256008038085 is a `hidden beast` number, since 2 + 5 + 600 + 8 + 0 + 38 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36880129764 + 219127908321 = 192042^2 + 468111^2 .

It is not a de Polignac number, because 256008038085 - 2¹⁴ = 256008021701 is a prime.

It is a super-3 number, since 3×256008038085³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 256008038085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969180 + ... + 1204709.

It is an arithmetic number, because the mean of its divisors is an integer number (18496543065).

Almost surely, 2^256008038085 is an apocalyptic number.

It is an amenable number.

256008038085 is a deficient number, since it is larger than the sum of its proper divisors (187908995475).

256008038085 is a wasteful number, since it uses less digits than its factorization.

256008038085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176517 (or 2176514 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 256008038085 in words is "two hundred fifty-six billion, eight million, thirty-eight thousand, eighty-five".