815292041 has 2 divisors, whose sum is σ = 815292042. Its totient is φ = 815292040.

The previous prime is 815292029. The next prime is 815292043. The reversal of 815292041 is 140292518.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 813390400 + 1901641 = 28520^2 + 1379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-815292041 is a prime.

It is a super-2 number, since 2×815292041² = 1329402224235891362, which contains 22 as substring.

Together with 815292043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 815291989 and 815292007.

It is not a weakly prime, because it can be changed into another prime (815292043) 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, 407646020 + 407646021.

It is an arithmetic number, because the mean of its divisors is an integer number (407646021).

Almost surely, 2^815292041 is an apocalyptic number.

It is an amenable number.

815292041 is a deficient number, since it is larger than the sum of its proper divisors (1).

815292041 is an equidigital number, since it uses as much as digits as its factorization.

815292041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 815292041 is about 28553.3192641416. The cubic root of 815292041 is about 934.1954209772.

The spelling of 815292041 in words is "eight hundred fifteen million, two hundred ninety-two thousand, forty-one".