819652605993 has 24 divisors (see below), whose sum is σ = 1275184906632. Its totient is φ = 504334453248.

The previous prime is 819652605983. The next prime is 819652606039. The reversal of 819652605993 is 399506256918.

819652605993 is a `hidden beast` number, since 8 + 19 + 6 + 5 + 2 + 605 + 9 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 435615840144 + 384036765849 = 660012^2 + 619707^2 .

It is not a de Polignac number, because 819652605993 - 2¹² = 819652601897 is a prime.

It is a super-2 number, since 2×819652605993² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 819652605993.

It is not an unprimeable number, because it can be changed into a prime (819652605923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423505 + ... + 1348577.

It is an arithmetic number, because the mean of its divisors is an integer number (53132704443).

Almost surely, 2^819652605993 is an apocalyptic number.

It is an amenable number.

819652605993 is a deficient number, since it is larger than the sum of its proper divisors (455532300639).

819652605993 is a wasteful number, since it uses less digits than its factorization.

819652605993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932665 (or 932662 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 819652605993 in words is "eight hundred nineteen billion, six hundred fifty-two million, six hundred five thousand, nine hundred ninety-three".