215825256 has 128 divisors (see below), whose sum is σ = 646272000. Its totient is φ = 66515904.

The previous prime is 215825243. The next prime is 215825263. The reversal of 215825256 is 652528512.

It is a happy number.

215825256 is a `hidden beast` number, since 21 + 582 + 5 + 2 + 56 = 666.

It is a super-3 number, since 3×215825256³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 215825256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175861 + ... + 177083.

It is an arithmetic number, because the mean of its divisors is an integer number (5049000).

Almost surely, 2^215825256 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 215825256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323136000).

215825256 is an abundant number, since it is smaller than the sum of its proper divisors (430446744).

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

215825256 is a wasteful number, since it uses less digits than its factorization.

215825256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1290 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 215825256 is about 14690.9923422484. The cubic root of 215825256 is about 599.8381563483.

The spelling of 215825256 in words is "two hundred fifteen million, eight hundred twenty-five thousand, two hundred fifty-six".