256164251 has 8 divisors (see below), whose sum is σ = 308167680. Its totient is φ = 208012968.

The previous prime is 256164239. The next prime is 256164257. The reversal of 256164251 is 152461652.

256164251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256164251 - 2¹⁸ = 255902107 is a prime.

It is a super-3 number, since 3×256164251³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256164257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962891 + ... + 963156.

It is an arithmetic number, because the mean of its divisors is an integer number (38520960).

Almost surely, 2^256164251 is an apocalyptic number.

256164251 is a deficient number, since it is larger than the sum of its proper divisors (52003429).

256164251 is a wasteful number, since it uses less digits than its factorization.

256164251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926073.

The product of its digits is 14400, while the sum is 32.

The square root of 256164251 is about 16005.1320206989. The cubic root of 256164251 is about 635.0961897808.

The spelling of 256164251 in words is "two hundred fifty-six million, one hundred sixty-four thousand, two hundred fifty-one".