825120191 has 16 divisors (see below), whose sum is σ = 950415360. Its totient is φ = 701701920.

The previous prime is 825120173. The next prime is 825120227. The reversal of 825120191 is 191021528.

825120191 = 365² + 366² + ... + 1361².

It is a cyclic number.

It is not a de Polignac number, because 825120191 - 2¹⁰ = 825119167 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 (825120991) 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, 827105 + ... + 828101.

It is an arithmetic number, because the mean of its divisors is an integer number (59400960).

Almost surely, 2^825120191 is an apocalyptic number.

825120191 is a deficient number, since it is larger than the sum of its proper divisors (125295169).

825120191 is a wasteful number, since it uses less digits than its factorization.

825120191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814.

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 825120191 is about 28724.9054132472. The cubic root of 825120191 is about 937.9342712432.

The spelling of 825120191 in words is "eight hundred twenty-five million, one hundred twenty thousand, one hundred ninety-one".