61302572534101 has 2 divisors, whose sum is σ = 61302572534102. Its totient is φ = 61302572534100.

The previous prime is 61302572534087. The next prime is 61302572534111. The reversal of 61302572534101 is 10143527520316.

61302572534101 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., 61148865411076 + 153707123025 = 7819774^2 + 392055^2 .

It is a cyclic number.

It is not a de Polignac number, because 61302572534101 - 2¹¹ = 61302572532053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61302572534111) 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, 30651286267050 + 30651286267051.

It is an arithmetic number, because the mean of its divisors is an integer number (30651286267051).

Almost surely, 2^{61302572534101} is an apocalyptic number.

It is an amenable number.

61302572534101 is a deficient number, since it is larger than the sum of its proper divisors (1).

61302572534101 is an equidigital number, since it uses as much as digits as its factorization.

61302572534101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 61302572534101 in words is "sixty-one trillion, three hundred two billion, five hundred seventy-two million, five hundred thirty-four thousand, one hundred one".