2138678413 has 2 divisors, whose sum is σ = 2138678414. Its totient is φ = 2138678412.

The previous prime is 2138678371. The next prime is 2138678431. The reversal of 2138678413 is 3148768312.

Together with next prime (2138678431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1444988169 + 693690244 = 38013^2 + 26338^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2138678413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2138678413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2138658413) 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 as a sum of consecutive naturals, namely, 1069339206 + 1069339207.

It is an arithmetic number, because the mean of its divisors is an integer number (1069339207).

Almost surely, 2^2138678413 is an apocalyptic number.

It is an amenable number.

2138678413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138678413 is an equidigital number, since it uses as much as digits as its factorization.

2138678413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 193536, while the sum is 43.

The square root of 2138678413 is about 46245.8475216965. The cubic root of 2138678413 is about 1288.3934114910.

It can be divided in two parts, 21386 and 78413, that added together give a palindrome (99799).

The spelling of 2138678413 in words is "two billion, one hundred thirty-eight million, six hundred seventy-eight thousand, four hundred thirteen".