256752365764251 has 32 divisors (see below), whose sum is σ = 398225455349760. Its totient is φ = 144109350655776.

The previous prime is 256752365764189. The next prime is 256752365764303. The reversal of 256752365764251 is 152467563257652.

It is not a de Polignac number, because 256752365764251 - 2¹⁵ = 256752365731483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256752365764051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262454331 + ... + 263430788.

It is an arithmetic number, because the mean of its divisors is an integer number (12444545479680).

Almost surely, 2^{256752365764251} is an apocalyptic number.

256752365764251 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

256752365764251 is a deficient number, since it is larger than the sum of its proper divisors (141473089585509).

256752365764251 is a wasteful number, since it uses less digits than its factorization.

256752365764251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525885543.

The product of its digits is 635040000, while the sum is 66.

The spelling of 256752365764251 in words is "two hundred fifty-six trillion, seven hundred fifty-two billion, three hundred sixty-five million, seven hundred sixty-four thousand, two hundred fifty-one".