256261122 has 72 divisors (see below), whose sum is σ = 611526708. Its totient is φ = 77500800.

The previous prime is 256261121. The next prime is 256261127. The reversal of 256261122 is 221162652.

256261122 is a `hidden beast` number, since 2 + 5 + 626 + 11 + 22 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1252161 + 255008961 = 1119^2 + 15969^2 .

It is not an unprimeable number, because it can be changed into a prime (256261121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 184872 + ... + 186252.

Almost surely, 2^256261122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256261122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305763354).

256261122 is an abundant number, since it is smaller than the sum of its proper divisors (355265586).

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

256261122 is a wasteful number, since it uses less digits than its factorization.

256261122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1460 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 256261122 is about 16008.1579827287. The cubic root of 256261122 is about 635.1762356229.

The spelling of 256261122 in words is "two hundred fifty-six million, two hundred sixty-one thousand, one hundred twenty-two".