256252153536 has 336 divisors, whose sum is σ = 762883513600. Its totient is φ = 82196674560.

The previous prime is 256252153519. The next prime is 256252153579. The reversal of 256252153536 is 635351252652.

It is a happy number.

256252153536 is a `hidden beast` number, since 2 + 5 + 62 + 5 + 2 + 1 + 53 + 536 = 666.

256252153536 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 = 256252153491 and 256252153500.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 468468015 + ... + 468468561.

Almost surely, 2^256252153536 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 256252153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381441756800).

256252153536 is an abundant number, since it is smaller than the sum of its proper divisors (506631360064).

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

256252153536 is a wasteful number, since it uses less digits than its factorization.

256252153536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 879 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

The spelling of 256252153536 in words is "two hundred fifty-six billion, two hundred fifty-two million, one hundred fifty-three thousand, five hundred thirty-six".