61123636529 has 2 divisors, whose sum is σ = 61123636530. Its totient is φ = 61123636528.

The previous prime is 61123636507. The next prime is 61123636531. The reversal of 61123636529 is 92563632116.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32264422129 + 28859214400 = 179623^2 + 169880^2 .

It is a cyclic number.

It is not a de Polignac number, because 61123636529 - 2¹² = 61123632433 is a prime.

Together with 61123636531, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61123636529.

It is not a weakly prime, because it can be changed into another prime (61123636559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30561818264 + 30561818265.

It is an arithmetic number, because the mean of its divisors is an integer number (30561818265).

Almost surely, 2^61123636529 is an apocalyptic number.

It is an amenable number.

61123636529 is a deficient number, since it is larger than the sum of its proper divisors (1).

61123636529 is an equidigital number, since it uses as much as digits as its factorization.

61123636529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 349920, while the sum is 44.

The spelling of 61123636529 in words is "sixty-one billion, one hundred twenty-three million, six hundred thirty-six thousand, five hundred twenty-nine".