2010616520617 has 2 divisors, whose sum is σ = 2010616520618. Its totient is φ = 2010616520616.

The previous prime is 2010616520597. The next prime is 2010616520657. The reversal of 2010616520617 is 7160256160102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1998884164761 + 11732355856 = 1413819^2 + 108316^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010616520617 - 2¹⁹ = 2010615996329 is a prime.

It is a super-2 number, since 2×2010616520617² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2010616520657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005308260308 + 1005308260309.

It is an arithmetic number, because the mean of its divisors is an integer number (1005308260309).

Almost surely, 2^{2010616520617} is an apocalyptic number.

It is an amenable number.

2010616520617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010616520617 is an equidigital number, since it uses as much as digits as its factorization.

2010616520617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 2010616520617 in words is "two trillion, ten billion, six hundred sixteen million, five hundred twenty thousand, six hundred seventeen".