256723771020251 has 8 divisors (see below), whose sum is σ = 268037968450560. Its totient is φ = 245422264785192.

The previous prime is 256723771020221. The next prime is 256723771020383. The reversal of 256723771020251 is 152020177327652.

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 256723771020251 - 2⁴² = 252325724509147 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256723771020251.

It is not an unprimeable number, because it can be changed into a prime (256723771020221) 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, 3172757465 + ... + 3172838378.

It is an arithmetic number, because the mean of its divisors is an integer number (33504746056320).

Almost surely, 2^{256723771020251} is an apocalyptic number.

256723771020251 is a deficient number, since it is larger than the sum of its proper divisors (11314197430309).

256723771020251 is a wasteful number, since it uses less digits than its factorization.

256723771020251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345597625.

The product of its (nonzero) digits is 2469600, while the sum is 50.

The spelling of 256723771020251 in words is "two hundred fifty-six trillion, seven hundred twenty-three billion, seven hundred seventy-one million, twenty thousand, two hundred fifty-one".