2002054696657 has 2 divisors, whose sum is σ = 2002054696658. Its totient is φ = 2002054696656.

The previous prime is 2002054696591. The next prime is 2002054696667. The reversal of 2002054696657 is 7566964502002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1945757169216 + 56297527441 = 1394904^2 + 237271^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002054696657 - 2¹⁹ = 2002054172369 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002054696667) 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, 1001027348328 + 1001027348329.

It is an arithmetic number, because the mean of its divisors is an integer number (1001027348329).

Almost surely, 2^{2002054696657} is an apocalyptic number.

It is an amenable number.

2002054696657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002054696657 is an equidigital number, since it uses as much as digits as its factorization.

2002054696657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 2002054696657 in words is "two trillion, two billion, fifty-four million, six hundred ninety-six thousand, six hundred fifty-seven".