2085231268537 has 2 divisors, whose sum is σ = 2085231268538. Its totient is φ = 2085231268536.

The previous prime is 2085231268507. The next prime is 2085231268567. The reversal of 2085231268537 is 7358621325802.

It is a balanced prime because it is at equal distance from previous prime (2085231268507) and next prime (2085231268567).

It can be written as a sum of positive squares in only one way, i.e., 1597016040361 + 488215228176 = 1263731^2 + 698724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2085231268537 is a prime.

It is a super-2 number, since 2×2085231268537² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2085231268507) 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, 1042615634268 + 1042615634269.

It is an arithmetic number, because the mean of its divisors is an integer number (1042615634269).

Almost surely, 2^{2085231268537} is an apocalyptic number.

It is an amenable number.

2085231268537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2085231268537 is an equidigital number, since it uses as much as digits as its factorization.

2085231268537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 2085231268537 in words is "two trillion, eighty-five billion, two hundred thirty-one million, two hundred sixty-eight thousand, five hundred thirty-seven".