256516473174201 has 16 divisors (see below), whose sum is σ = 387194676491520. Its totient is φ = 167784359811120.

The previous prime is 256516473174133. The next prime is 256516473174259. The reversal of 256516473174201 is 102471374615652.

256516473174201 is a `hidden beast` number, since 2 + 5 + 6 + 516 + 4 + 7 + 31 + 74 + 20 + 1 = 666.

256516473174201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256516473174201 - 2⁴⁷ = 115778984818873 is a prime.

It is a super-3 number, since 3×256516473174201³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (256516473174281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89628395905 + ... + 89628398766.

It is an arithmetic number, because the mean of its divisors is an integer number (24199667280720).

Almost surely, 2^{256516473174201} is an apocalyptic number.

It is an amenable number.

256516473174201 is a deficient number, since it is larger than the sum of its proper divisors (130678203317319).

256516473174201 is a wasteful number, since it uses less digits than its factorization.

256516473174201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179256794733 (or 179256794727 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 256516473174201 in words is "two hundred fifty-six trillion, five hundred sixteen billion, four hundred seventy-three million, one hundred seventy-four thousand, two hundred one".