256258273108761 has 405 divisors, whose sum is σ = 498604991881269. Its totient is φ = 126361293458400.

The previous prime is 256258273108751. The next prime is 256258273108763. The reversal of 256258273108761 is 167801372852652.

The square root of 256258273108761 is 16008069.

It is a perfect power (a square), and thus also a powerful number.

256258273108761 is a `hidden beast` number, since 2 + 5 + 6 + 258 + 2 + 7 + 310 + 8 + 7 + 61 = 666.

It is not a de Polignac number, because 256258273108761 - 2¹³ = 256258273100569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256258273108763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1956170023666 + ... + 1956170023796.

Almost surely, 2^{256258273108761} is an apocalyptic number.

256258273108761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

256258273108761 is the 16008069-th square number.

256258273108761 is the 8004035-th centered octagonal number.

It is an amenable number.

256258273108761 is a deficient number, since it is larger than the sum of its proper divisors (242346718772508).

256258273108761 is an frugal number, since it uses more digits than its factorization.

256258273108761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 256258273108761 in words is "two hundred fifty-six trillion, two hundred fifty-eight billion, two hundred seventy-three million, one hundred eight thousand, seven hundred sixty-one".