825572250 has 160 divisors (see below), whose sum is σ = 2351194560. Its totient is φ = 216108000.

The previous prime is 825572233. The next prime is 825572317. The reversal of 825572250 is 52275528.

825572250 is a `hidden beast` number, since 82 + 5 + 572 + 2 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1194405 + ... + 1195095.

It is an arithmetic number, because the mean of its divisors is an integer number (14694966).

Almost surely, 2^825572250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825572250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175597280).

825572250 is an abundant number, since it is smaller than the sum of its proper divisors (1525622310).

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

825572250 is a wasteful number, since it uses less digits than its factorization.

825572250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 825572250 is about 28732.7730997201. The cubic root of 825572250 is about 938.1055288063.

The spelling of 825572250 in words is "eight hundred twenty-five million, five hundred seventy-two thousand, two hundred fifty".