256753217 has 8 divisors (see below), whose sum is σ = 293640000. Its totient is φ = 219918384.

The previous prime is 256753201. The next prime is 256753267. The reversal of 256753217 is 712357652.

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

It is not a de Polignac number, because 256753217 - 2⁴ = 256753201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256753267) 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, 1742 + ... + 22727.

It is an arithmetic number, because the mean of its divisors is an integer number (36705000).

Almost surely, 2^256753217 is an apocalyptic number.

It is an amenable number.

256753217 is a deficient number, since it is larger than the sum of its proper divisors (36886783).

256753217 is a wasteful number, since it uses less digits than its factorization.

256753217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25975.

The product of its digits is 88200, while the sum is 38.

The square root of 256753217 is about 16023.5207429578. The cubic root of 256753217 is about 635.5825492918.

The spelling of 256753217 in words is "two hundred fifty-six million, seven hundred fifty-three thousand, two hundred seventeen".