59006261 has 2 divisors, whose sum is σ = 59006262. Its totient is φ = 59006260.

The previous prime is 59006249. The next prime is 59006273. The reversal of 59006261 is 16260095.

59006261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (59006249) and next prime (59006273).

It can be written as a sum of positive squares in only one way, i.e., 54982225 + 4024036 = 7415^2 + 2006^2 .

It is a cyclic number.

It is not a de Polignac number, because 59006261 - 2¹⁰ = 59005237 is a prime.

It is a super-3 number, since 3×59006261³ (a number of 24 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_3506663 and since 59006261 and 3506663 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (59006161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29503130 + 29503131.

It is an arithmetic number, because the mean of its divisors is an integer number (29503131).

Almost surely, 2^59006261 is an apocalyptic number.

It is an amenable number.

59006261 is a deficient number, since it is larger than the sum of its proper divisors (1).

59006261 is an equidigital number, since it uses as much as digits as its factorization.

59006261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 59006261 is about 7681.5532934427. The cubic root of 59006261 is about 389.3134117503.

The spelling of 59006261 in words is "fifty-nine million, six thousand, two hundred sixty-one".