825257567 has 8 divisors (see below), whose sum is σ = 834047472. Its totient is φ = 816480000.

The previous prime is 825257561. The next prime is 825257569. The reversal of 825257567 is 765752528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825257567 - 2⁴ = 825257551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825257561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201692 + ... + 205742.

It is an arithmetic number, because the mean of its divisors is an integer number (104255934).

Almost surely, 2^825257567 is an apocalyptic number.

825257567 is a deficient number, since it is larger than the sum of its proper divisors (8789905).

825257567 is a wasteful number, since it uses less digits than its factorization.

825257567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169.

The product of its digits is 1176000, while the sum is 47.

The square root of 825257567 is about 28727.2965487531. The cubic root of 825257567 is about 937.9863212393.

The spelling of 825257567 in words is "eight hundred twenty-five million, two hundred fifty-seven thousand, five hundred sixty-seven".