256505501952 has 360 divisors, whose sum is σ = 885222060800. Its totient is φ = 72356364288.

The previous prime is 256505501911. The next prime is 256505501953. The reversal of 256505501952 is 259105505652.

256505501952 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 0 + 550 + 1 + 95 + 2 = 666.

256505501952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256505501898 and 256505501907.

It is not an unprimeable number, because it can be changed into a prime (256505501953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11455824 + ... + 11478192.

Almost surely, 2^256505501952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256505501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442611030400).

256505501952 is an abundant number, since it is smaller than the sum of its proper divisors (628716558848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256505501952 is an equidigital number, since it uses as much as digits as its factorization.

256505501952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22483 (or 22460 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 256505501952 in words is "two hundred fifty-six billion, five hundred five million, five hundred one thousand, nine hundred fifty-two".