256191552 has 112 divisors (see below), whose sum is σ = 773704320. Its totient is φ = 83068416.

The previous prime is 256191517. The next prime is 256191569. The reversal of 256191552 is 255191652.

256191552 is a `hidden beast` number, since 2 + 561 + 91 + 5 + 5 + 2 = 666.

It is a super-2 number, since 2×256191552² = 131268222632337408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61933 + ... + 65939.

Almost surely, 2^256191552 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 256191552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386852160).

256191552 is an abundant number, since it is smaller than the sum of its proper divisors (517512768).

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

256191552 is a wasteful number, since it uses less digits than its factorization.

256191552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4049 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 256191552 is about 16005.9848806626. The cubic root of 256191552 is about 635.1187510153.

The spelling of 256191552 in words is "two hundred fifty-six million, one hundred ninety-one thousand, five hundred fifty-two".