825188101 has 16 divisors (see below), whose sum is σ = 877363200. Its totient is φ = 774961200.

The previous prime is 825188087. The next prime is 825188113. The reversal of 825188101 is 101881528.

It is a cyclic number.

It is not a de Polignac number, because 825188101 - 2¹³ = 825179909 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 (825188141) 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, 141636 + ... + 147346.

It is an arithmetic number, because the mean of its divisors is an integer number (54835200).

Almost surely, 2^825188101 is an apocalyptic number.

It is an amenable number.

825188101 is a deficient number, since it is larger than the sum of its proper divisors (52175099).

825188101 is a wasteful number, since it uses less digits than its factorization.

825188101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880.

The product of its (nonzero) digits is 5120, while the sum is 34.

The square root of 825188101 is about 28726.0874641849. The cubic root of 825188101 is about 937.9600021891.

The spelling of 825188101 in words is "eight hundred twenty-five million, one hundred eighty-eight thousand, one hundred one".