2002012662577 has 2 divisors, whose sum is σ = 2002012662578. Its totient is φ = 2002012662576.

The previous prime is 2002012662511. The next prime is 2002012662583. The reversal of 2002012662577 is 7752662102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1403085261361 + 598927401216 = 1184519^2 + 773904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002012662577 is a prime.

It is a super-2 number, since 2×2002012662577² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002012662677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001006331288 + 1001006331289.

It is an arithmetic number, because the mean of its divisors is an integer number (1001006331289).

Almost surely, 2^{2002012662577} is an apocalyptic number.

It is an amenable number.

2002012662577 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002012662577 is an equidigital number, since it uses as much as digits as its factorization.

2002012662577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 40.

Adding to 2002012662577 its reverse (7752662102002), we get a palindrome (9754674764579).

The spelling of 2002012662577 in words is "two trillion, two billion, twelve million, six hundred sixty-two thousand, five hundred seventy-seven".