652657006468661 has 2 divisors, whose sum is σ = 652657006468662. Its totient is φ = 652657006468660.

The previous prime is 652657006468627. The next prime is 652657006468673. The reversal of 652657006468661 is 166864600756256.

652657006468661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 652632910115761 + 24096352900 = 25546681^2 + 155230^2 .

It is a cyclic number.

It is not a de Polignac number, because 652657006468661 - 2¹⁰ = 652657006467637 is a prime.

It is a super-2 number, since 2×652657006468661² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 652657006468591 and 652657006468600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (652657006468361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 326328503234330 + 326328503234331.

It is an arithmetic number, because the mean of its divisors is an integer number (326328503234331).

Almost surely, 2^{652657006468661} is an apocalyptic number.

It is an amenable number.

652657006468661 is a deficient number, since it is larger than the sum of its proper divisors (1).

652657006468661 is an equidigital number, since it uses as much as digits as its factorization.

652657006468661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 522547200, while the sum is 68.

The spelling of 652657006468661 in words is "six hundred fifty-two trillion, six hundred fifty-seven billion, six million, four hundred sixty-eight thousand, six hundred sixty-one".