5187638310561 has 64 divisors (see below), whose sum is σ = 8838602752000. Its totient is φ = 2945735175168.

The previous prime is 5187638310553. The next prime is 5187638310571. The reversal of 5187638310561 is 1650138367815.

It is a happy number.

5187638310561 is a `hidden beast` number, since 5 + 1 + 8 + 7 + 63 + 8 + 3 + 10 + 561 = 666.

It is not a de Polignac number, because 5187638310561 - 2³ = 5187638310553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5187638310498 and 5187638310507.

It is not an unprimeable number, because it can be changed into a prime (5187638310551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33006240 + ... + 33163038.

It is an arithmetic number, because the mean of its divisors is an integer number (138103168000).

Almost surely, 2^{5187638310561} is an apocalyptic number.

It is an amenable number.

5187638310561 is a deficient number, since it is larger than the sum of its proper divisors (3650964441439).

5187638310561 is a wasteful number, since it uses less digits than its factorization.

5187638310561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157915 (or 157909 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5187638310561 in words is "five trillion, one hundred eighty-seven billion, six hundred thirty-eight million, three hundred ten thousand, five hundred sixty-one".