2045312762821 has 2 divisors, whose sum is σ = 2045312762822. Its totient is φ = 2045312762820.

The previous prime is 2045312762819. The next prime is 2045312762851. The reversal of 2045312762821 is 1282672135402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2043295854721 + 2016908100 = 1429439^2 + 44910^2 .

It is a cyclic number.

It is not a de Polignac number, because 2045312762821 - 2¹ = 2045312762819 is a prime.

It is a super-3 number, since 3×2045312762821³ (a number of 38 digits) contains 333 as substring.

Together with 2045312762819, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2045312762851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1022656381410 + 1022656381411.

It is an arithmetic number, because the mean of its divisors is an integer number (1022656381411).

Almost surely, 2^{2045312762821} is an apocalyptic number.

It is an amenable number.

2045312762821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2045312762821 is an equidigital number, since it uses as much as digits as its factorization.

2045312762821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 2045312762821 in words is "two trillion, forty-five billion, three hundred twelve million, seven hundred sixty-two thousand, eight hundred twenty-one".