256680953 has 8 divisors (see below), whose sum is σ = 261847872. Its totient is φ = 251553456.

The previous prime is 256680917. The next prime is 256680973. The reversal of 256680953 is 359086652.

It is a happy number.

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 256680953 - 2¹⁶ = 256615417 is a prime.

It is a super-2 number, since 2×256680953² = 131770223265976418, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256680973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3476 + ... + 22922.

It is an arithmetic number, because the mean of its divisors is an integer number (32730984).

Almost surely, 2^256680953 is an apocalyptic number.

It is an amenable number.

256680953 is a deficient number, since it is larger than the sum of its proper divisors (5166919).

256680953 is a wasteful number, since it uses less digits than its factorization.

256680953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19711.

The product of its (nonzero) digits is 388800, while the sum is 44.

The square root of 256680953 is about 16021.2656491302. The cubic root of 256680953 is about 635.5229147945.

The spelling of 256680953 in words is "two hundred fifty-six million, six hundred eighty thousand, nine hundred fifty-three".