256249605375 has 224 divisors, whose sum is σ = 496538392896. Its totient is φ = 131880960000.

The previous prime is 256249605371. The next prime is 256249605379. The reversal of 256249605375 is 573506942652.

It is a happy number.

256249605375 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 49 + 60 + 537 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (256249605371) and next prime (256249605379).

It is not a de Polignac number, because 256249605375 - 2² = 256249605371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256249605371) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 399765055 + ... + 399765695.

It is an arithmetic number, because the mean of its divisors is an integer number (2216689254).

Almost surely, 2^256249605375 is an apocalyptic number.

256249605375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256249605375 is a deficient number, since it is larger than the sum of its proper divisors (240288787521).

256249605375 is an equidigital number, since it uses as much as digits as its factorization.

256249605375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 256249605375 in words is "two hundred fifty-six billion, two hundred forty-nine million, six hundred five thousand, three hundred seventy-five".