825300761 has 2 divisors, whose sum is σ = 825300762. Its totient is φ = 825300760.

The previous prime is 825300733. The next prime is 825300769. The reversal of 825300761 is 167003528.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 748843225 + 76457536 = 27365^2 + 8744^2 .

It is a cyclic number.

It is not a de Polignac number, because 825300761 - 2²⁶ = 758191897 is a prime.

It is a super-2 number, since 2×825300761² = 1362242692214358242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (825300769) 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, 412650380 + 412650381.

It is an arithmetic number, because the mean of its divisors is an integer number (412650381).

Almost surely, 2^825300761 is an apocalyptic number.

It is an amenable number.

825300761 is a deficient number, since it is larger than the sum of its proper divisors (1).

825300761 is an equidigital number, since it uses as much as digits as its factorization.

825300761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 825300761 is about 28728.0483325965. The cubic root of 825300761 is about 938.0026856957.

The spelling of 825300761 in words is "eight hundred twenty-five million, three hundred thousand, seven hundred sixty-one".