256117512 has 192 divisors, whose sum is σ = 824411520. Its totient is φ = 65759232.

The previous prime is 256117501. The next prime is 256117541. The reversal of 256117512 is 215711652.

It is a self number, because there is not a number n which added to its sum of digits gives 256117512.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459538 + ... + 460094.

It is an arithmetic number, because the mean of its divisors is an integer number (4293810).

Almost surely, 2^256117512 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 256117512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412205760).

256117512 is an abundant number, since it is smaller than the sum of its proper divisors (568294008).

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

256117512 is a wasteful number, since it uses less digits than its factorization.

256117512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its digits is 4200, while the sum is 30.

The square root of 256117512 is about 16003.6718286773. The cubic root of 256117512 is about 635.0575614838.

The spelling of 256117512 in words is "two hundred fifty-six million, one hundred seventeen thousand, five hundred twelve".