59291753991121 has 2 divisors, whose sum is σ = 59291753991122. Its totient is φ = 59291753991120.

The previous prime is 59291753991091. The next prime is 59291753991137. The reversal of 59291753991121 is 12119935719295.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30637830171025 + 28653923820096 = 5535145^2 + 5352936^2 .

It is a cyclic number.

It is not a de Polignac number, because 59291753991121 - 2⁷ = 59291753990993 is a prime.

It is a super-2 number, since 2×59291753991121² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (59291753997121) 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, 29645876995560 + 29645876995561.

It is an arithmetic number, because the mean of its divisors is an integer number (29645876995561).

Almost surely, 2^{59291753991121} is an apocalyptic number.

It is an amenable number.

59291753991121 is a deficient number, since it is larger than the sum of its proper divisors (1).

59291753991121 is an equidigital number, since it uses as much as digits as its factorization.

59291753991121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13778100, while the sum is 64.

The spelling of 59291753991121 in words is "fifty-nine trillion, two hundred ninety-one billion, seven hundred fifty-three million, nine hundred ninety-one thousand, one hundred twenty-one".