825960261 has 32 divisors (see below), whose sum is σ = 1270418688. Its totient is φ = 467573760.

The previous prime is 825960257. The next prime is 825960271. The reversal of 825960261 is 162069528.

825960261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825960261 - 2² = 825960257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825960241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482595 + ... + 1483151.

It is an arithmetic number, because the mean of its divisors is an integer number (39700584).

Almost surely, 2^825960261 is an apocalyptic number.

It is an amenable number.

825960261 is a deficient number, since it is larger than the sum of its proper divisors (444458427).

825960261 is a wasteful number, since it uses less digits than its factorization.

825960261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 825960261 is about 28739.5243697595. The cubic root of 825960261 is about 938.2524726401.

The spelling of 825960261 in words is "eight hundred twenty-five million, nine hundred sixty thousand, two hundred sixty-one".