658960979681 has 2 divisors, whose sum is σ = 658960979682. Its totient is φ = 658960979680.

The previous prime is 658960979669. The next prime is 658960979683. The reversal of 658960979681 is 186979069856.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 530683110400 + 128277869281 = 728480^2 + 358159^2 .

It is a cyclic number.

It is not a de Polignac number, because 658960979681 - 2¹⁰ = 658960978657 is a prime.

It is a super-3 number, since 3×658960979681³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 658960979683, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 658960979599 and 658960979608.

It is not a weakly prime, because it can be changed into another prime (658960979683) 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, 329480489840 + 329480489841.

It is an arithmetic number, because the mean of its divisors is an integer number (329480489841).

Almost surely, 2^658960979681 is an apocalyptic number.

It is an amenable number.

658960979681 is a deficient number, since it is larger than the sum of its proper divisors (1).

658960979681 is an equidigital number, since it uses as much as digits as its factorization.

658960979681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352719360, while the sum is 74.

The spelling of 658960979681 in words is "six hundred fifty-eight billion, nine hundred sixty million, nine hundred seventy-nine thousand, six hundred eighty-one".