825771101 has 2 divisors, whose sum is σ = 825771102. Its totient is φ = 825771100.

The previous prime is 825771053. The next prime is 825771113. The reversal of 825771101 is 101177528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 689115001 + 136656100 = 26251^2 + 11690^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-825771101 is a prime.

It is a super-2 number, since 2×825771101² = 1363795822493504402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825771131) 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 as a sum of consecutive naturals, namely, 412885550 + 412885551.

It is an arithmetic number, because the mean of its divisors is an integer number (412885551).

Almost surely, 2^825771101 is an apocalyptic number.

It is an amenable number.

825771101 is a deficient number, since it is larger than the sum of its proper divisors (1).

825771101 is an equidigital number, since it uses as much as digits as its factorization.

825771101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 32.

The square root of 825771101 is about 28736.2332430679. The cubic root of 825771101 is about 938.1808415151.

The spelling of 825771101 in words is "eight hundred twenty-five million, seven hundred seventy-one thousand, one hundred one".