816033013 has 2 divisors, whose sum is σ = 816033014. Its totient is φ = 816033012.

The previous prime is 816033007. The next prime is 816033017. The reversal of 816033013 is 310330618.

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., 673039249 + 142993764 = 25943^2 + 11958^2 .

It is a cyclic number.

It is not a de Polignac number, because 816033013 - 2¹⁷ = 815901941 is a prime.

It is a super-3 number, since 3×816033013³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (816033017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 408016506 + 408016507.

It is an arithmetic number, because the mean of its divisors is an integer number (408016507).

Almost surely, 2^816033013 is an apocalyptic number.

It is an amenable number.

816033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

816033013 is an equidigital number, since it uses as much as digits as its factorization.

816033013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 816033013 is about 28566.2915514072. The cubic root of 816033013 is about 934.4783474283.

The spelling of 816033013 in words is "eight hundred sixteen million, thirty-three thousand, thirteen".