1638415287513 has 6 divisors (see below), whose sum is σ = 2366599859754. Its totient is φ = 1092276858336.

The previous prime is 1638415287493. The next prime is 1638415287527. The reversal of 1638415287513 is 3157825148361.

1638415287513 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 41 + 5 + 2 + 87 + 513 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1228313373849 + 410101913664 = 1108293^2 + 640392^2 .

It is not a de Polignac number, because 1638415287513 - 2¹⁶ = 1638415221977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1638415287513.

It is not an unprimeable number, because it can be changed into a prime (1638415287563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91023071520 + ... + 91023071537.

It is an arithmetic number, because the mean of its divisors is an integer number (394433309959).

Almost surely, 2^{1638415287513} is an apocalyptic number.

It is an amenable number.

1638415287513 is a deficient number, since it is larger than the sum of its proper divisors (728184572241).

1638415287513 is a wasteful number, since it uses less digits than its factorization.

1638415287513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182046143063 (or 182046143060 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 1638415287513 in words is "one trillion, six hundred thirty-eight billion, four hundred fifteen million, two hundred eighty-seven thousand, five hundred thirteen".