825160193 has 32 divisors (see below), whose sum is σ = 987275520. Its totient is φ = 679829760.

The previous prime is 825160183. The next prime is 825160249. The reversal of 825160193 is 391061528.

It is a cyclic number.

It is not a de Polignac number, because 825160193 - 2¹⁶ = 825094657 is a prime.

It is a super-2 number, since 2×825160193² = 1361778688223594498, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (825160103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2602871 + ... + 2603187.

It is an arithmetic number, because the mean of its divisors is an integer number (30852360).

Almost surely, 2^825160193 is an apocalyptic number.

It is an amenable number.

825160193 is a deficient number, since it is larger than the sum of its proper divisors (162115327).

825160193 is a wasteful number, since it uses less digits than its factorization.

825160193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 825160193 is about 28725.6016995293. The cubic root of 825160193 is about 937.9494280817.

The spelling of 825160193 in words is "eight hundred twenty-five million, one hundred sixty thousand, one hundred ninety-three".