2681362816137 has 32 divisors (see below), whose sum is σ = 4080398716800. Its totient is φ = 1738986335424.

The previous prime is 2681362816129. The next prime is 2681362816151. The reversal of 2681362816137 is 7316182631862.

2681362816137 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 3 + 628 + 1 + 6 + 1 + 3 + 7 = 666.

It is not a de Polignac number, because 2681362816137 - 2³ = 2681362816129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2681362816037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6180814 + ... + 6600392.

It is an arithmetic number, because the mean of its divisors is an integer number (127512459900).

Almost surely, 2^{2681362816137} is an apocalyptic number.

2681362816137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2681362816137 is a deficient number, since it is larger than the sum of its proper divisors (1399035900663).

2681362816137 is a wasteful number, since it uses less digits than its factorization.

2681362816137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426022 (or 426016 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 2681362816137 in words is "two trillion, six hundred eighty-one billion, three hundred sixty-two million, eight hundred sixteen thousand, one hundred thirty-seven".