815223635856065 has 32 divisors (see below), whose sum is σ = 1069626122674560. Its totient is φ = 594040292342784.

The previous prime is 815223635856053. The next prime is 815223635856067. The reversal of 815223635856065 is 560658536322518.

It is a cyclic number.

It is not a de Polignac number, because 815223635856065 - 2³⁰ = 815222562114241 is a prime.

It is a super-3 number, since 3×815223635856065³ (a number of 46 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 815223635855992 and 815223635856010.

It is not an unprimeable number, because it can be changed into a prime (815223635856067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022736479 + ... + 1023533268.

It is an arithmetic number, because the mean of its divisors is an integer number (33425816333580).

Almost surely, 2^{815223635856065} is an apocalyptic number.

815223635856065 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

815223635856065 is a deficient number, since it is larger than the sum of its proper divisors (254402486818495).

815223635856065 is a wasteful number, since it uses less digits than its factorization.

815223635856065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046269921.

The product of its (nonzero) digits is 311040000, while the sum is 65.

The spelling of 815223635856065 in words is "eight hundred fifteen trillion, two hundred twenty-three billion, six hundred thirty-five million, eight hundred fifty-six thousand, sixty-five".