59291753991137 has 2 divisors, whose sum is σ = 59291753991138. Its totient is φ = 59291753991136.

The previous prime is 59291753991121. The next prime is 59291753991157. The reversal of 59291753991137 is 73119935719295.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52539650483776 + 6752103507361 = 7248424^2 + 2598481^2 .

It is a cyclic number.

It is not a de Polignac number, because 59291753991137 - 2⁴ = 59291753991121 is a prime.

It is not a weakly prime, because it can be changed into another prime (59291753991157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29645876995568 + 29645876995569.

It is an arithmetic number, because the mean of its divisors is an integer number (29645876995569).

Almost surely, 2^{59291753991137} is an apocalyptic number.

It is an amenable number.

59291753991137 is a deficient number, since it is larger than the sum of its proper divisors (1).

59291753991137 is an equidigital number, since it uses as much as digits as its factorization.

59291753991137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144670050, while the sum is 71.

The spelling of 59291753991137 in words is "fifty-nine trillion, two hundred ninety-one billion, seven hundred fifty-three million, nine hundred ninety-one thousand, one hundred thirty-seven".