782331513873 has 128 divisors (see below), whose sum is σ = 1337206800384. Its totient is φ = 395929728000.

The previous prime is 782331513851. The next prime is 782331513913. The reversal of 782331513873 is 378315133287.

It is a happy number.

It is not a de Polignac number, because 782331513873 - 2³⁶ = 713612037137 is a prime.

It is a super-2 number, since 2×782331513873² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (782331513473) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133477963 + ... + 133483823.

It is an arithmetic number, because the mean of its divisors is an integer number (10446928128).

Almost surely, 2^782331513873 is an apocalyptic number.

It is an amenable number.

782331513873 is a deficient number, since it is larger than the sum of its proper divisors (554875286511).

782331513873 is a wasteful number, since it uses less digits than its factorization.

782331513873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135.

The product of its digits is 2540160, while the sum is 51.

The spelling of 782331513873 in words is "seven hundred eighty-two billion, three hundred thirty-one million, five hundred thirteen thousand, eight hundred seventy-three".