825120091 has 8 divisors (see below), whose sum is σ = 847913760. Its totient is φ = 802352448.

The previous prime is 825120089. The next prime is 825120097. The reversal of 825120091 is 190021528.

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 825120091 - 2¹ = 825120089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825120097) 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, 69975 + ... + 80911.

It is an arithmetic number, because the mean of its divisors is an integer number (105989220).

Almost surely, 2^825120091 is an apocalyptic number.

825120091 is a deficient number, since it is larger than the sum of its proper divisors (22793669).

825120091 is a wasteful number, since it uses less digits than its factorization.

825120091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13013.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 825120091 is about 28724.9036725974. The cubic root of 825120091 is about 937.9342333524.

The spelling of 825120091 in words is "eight hundred twenty-five million, one hundred twenty thousand, ninety-one".