825290268 has 48 divisors (see below), whose sum is σ = 2102459520. Its totient is φ = 249883200.

The previous prime is 825290267. The next prime is 825290293. The reversal of 825290268 is 862092528.

It is a super-2 number, since 2×825290268² = 1362208052911023648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825290261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263898 + ... + 267006.

It is an arithmetic number, because the mean of its divisors is an integer number (43801240).

Almost surely, 2^825290268 is an apocalyptic number.

It is an amenable number.

825290268 is an abundant number, since it is smaller than the sum of its proper divisors (1277169252).

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

825290268 is a wasteful number, since it uses less digits than its factorization.

825290268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 825290268 is about 28727.8657056176. The cubic root of 825290268 is about 937.9987103757.

The spelling of 825290268 in words is "eight hundred twenty-five million, two hundred ninety thousand, two hundred sixty-eight".