256537616 has 20 divisors (see below), whose sum is σ = 526279932. Its totient is φ = 120723456.

The previous prime is 256537597. The next prime is 256537663. The reversal of 256537616 is 616735652.

It can be written as a sum of positive squares in 2 ways, for example, as 190992400 + 65545216 = 13820^2 + 8096^2 .

It is a super-5 number, since 5×256537616⁵ (a number of 43 digits) contains 55555 as substring. Note that it is a super-d number also for d = 4.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 471305 + ... + 471848.

Almost surely, 2^256537616 is an apocalyptic number.

It is an amenable number.

256537616 is an abundant number, since it is smaller than the sum of its proper divisors (269742316).

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

256537616 is a wasteful number, since it uses less digits than its factorization.

256537616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943178 (or 943172 counting only the distinct ones).

The product of its digits is 226800, while the sum is 41.

The square root of 256537616 is about 16016.7916887247. The cubic root of 256537616 is about 635.4045955236.

The spelling of 256537616 in words is "two hundred fifty-six million, five hundred thirty-seven thousand, six hundred sixteen".