825307268 has 12 divisors (see below), whose sum is σ = 1447451292. Its totient is φ = 411749760.

The previous prime is 825307207. The next prime is 825307291. The reversal of 825307268 is 862703528.

It can be written as a sum of positive squares in 2 ways, for example, as 574465024 + 250842244 = 23968^2 + 15838^2 .

It is a super-2 number, since 2×825307268² = 1362264173227247648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct 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, 223913 + ... + 227568.

It is an arithmetic number, because the mean of its divisors is an integer number (120620941).

Almost surely, 2^825307268 is an apocalyptic number.

It is an amenable number.

825307268 is a deficient number, since it is larger than the sum of its proper divisors (622144024).

825307268 is a wasteful number, since it uses less digits than its factorization.

825307268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451942 (or 451940 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 825307268 is about 28728.1615840624. The cubic root of 825307268 is about 938.0051508848.

It can be divided in two parts, 82530 and 7268, that added together give a palindrome (89798).

The spelling of 825307268 in words is "eight hundred twenty-five million, three hundred seven thousand, two hundred sixty-eight".