58965917561 has 2 divisors, whose sum is σ = 58965917562. Its totient is φ = 58965917560.

The previous prime is 58965917473. The next prime is 58965917573. The reversal of 58965917561 is 16571956985.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55404215161 + 3561702400 = 235381^2 + 59680^2 .

It is a cyclic number.

It is not a de Polignac number, because 58965917561 - 2²² = 58961723257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 58965917494 and 58965917503.

It is not a weakly prime, because it can be changed into another prime (58965917161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29482958780 + 29482958781.

It is an arithmetic number, because the mean of its divisors is an integer number (29482958781).

Almost surely, 2^58965917561 is an apocalyptic number.

It is an amenable number.

58965917561 is a deficient number, since it is larger than the sum of its proper divisors (1).

58965917561 is an equidigital number, since it uses as much as digits as its factorization.

58965917561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20412000, while the sum is 62.

The spelling of 58965917561 in words is "fifty-eight billion, nine hundred sixty-five million, nine hundred seventeen thousand, five hundred sixty-one".