807583138375 has 16 divisors (see below), whose sum is σ = 1085391740160. Its totient is φ = 596369085600.

The previous prime is 807583138343. The next prime is 807583138379. The reversal of 807583138375 is 573831385708.

It is a happy number.

It is not a de Polignac number, because 807583138375 - 2⁵ = 807583138343 is a prime.

It is a super-2 number, since 2×807583138375² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807583138379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248485495 + ... + 248488744.

It is an arithmetic number, because the mean of its divisors is an integer number (67836983760).

Almost surely, 2^807583138375 is an apocalyptic number.

807583138375 is a deficient number, since it is larger than the sum of its proper divisors (277808601785).

807583138375 is a wasteful number, since it uses less digits than its factorization.

807583138375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496974267 (or 496974257 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 807583138375 in words is "eight hundred seven billion, five hundred eighty-three million, one hundred thirty-eight thousand, three hundred seventy-five".