59645023500113 has 2 divisors, whose sum is σ = 59645023500114. Its totient is φ = 59645023500112.

The previous prime is 59645023499993. The next prime is 59645023500143. The reversal of 59645023500113 is 31100532054695.

59645023500113 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., 31288897947904 + 28356125552209 = 5593648^2 + 5325047^2 .

It is a cyclic number.

It is not a de Polignac number, because 59645023500113 - 2¹⁴ = 59645023483729 is a prime.

It is a super-2 number, since 2×59645023500113² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (59645023500143) 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, 29822511750056 + 29822511750057.

It is an arithmetic number, because the mean of its divisors is an integer number (29822511750057).

Almost surely, 2^{59645023500113} is an apocalyptic number.

It is an amenable number.

59645023500113 is a deficient number, since it is larger than the sum of its proper divisors (1).

59645023500113 is an equidigital number, since it uses as much as digits as its factorization.

59645023500113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486000, while the sum is 44.

The spelling of 59645023500113 in words is "fifty-nine trillion, six hundred forty-five billion, twenty-three million, five hundred thousand, one hundred thirteen".