256151580 has 96 divisors (see below), whose sum is σ = 766838016. Its totient is φ = 63661056.

The previous prime is 256151573. The next prime is 256151587. The reversal of 256151580 is 85151652.

It is an interprime number because it is at equal distance from previous prime (256151573) and next prime (256151587).

It is a super-2 number, since 2×256151580² = 131227263872992800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256151587) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 107967 + ... + 110313.

It is an arithmetic number, because the mean of its divisors is an integer number (7987896).

Almost surely, 2^256151580 is an apocalyptic number.

256151580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256151580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383419008).

256151580 is an abundant number, since it is smaller than the sum of its proper divisors (510686436).

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

256151580 is a wasteful number, since it uses less digits than its factorization.

256151580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 256151580 is about 16004.7361740205. The cubic root of 256151580 is about 635.0857180666.

The spelling of 256151580 in words is "two hundred fifty-six million, one hundred fifty-one thousand, five hundred eighty".