2982385516337 has 2 divisors, whose sum is σ = 2982385516338. Its totient is φ = 2982385516336.

The previous prime is 2982385516333. The next prime is 2982385516387. The reversal of 2982385516337 is 7336155832892.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2920598968576 + 61786547761 = 1708976^2 + 248569^2 .

It is a cyclic number.

It is not a de Polignac number, because 2982385516337 - 2² = 2982385516333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2982385516337.

It is not a weakly prime, because it can be changed into another prime (2982385516333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1491192758168 + 1491192758169.

It is an arithmetic number, because the mean of its divisors is an integer number (1491192758169).

Almost surely, 2^{2982385516337} is an apocalyptic number.

It is an amenable number.

2982385516337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2982385516337 is an equidigital number, since it uses as much as digits as its factorization.

2982385516337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 65318400, while the sum is 62.

The spelling of 2982385516337 in words is "two trillion, nine hundred eighty-two billion, three hundred eighty-five million, five hundred sixteen thousand, three hundred thirty-seven".