61205652006013 has 2 divisors, whose sum is σ = 61205652006014. Its totient is φ = 61205652006012.

The previous prime is 61205652005999. The next prime is 61205652006017. The reversal of 61205652006013 is 31060025650216.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56254395085849 + 4951256920164 = 7500293^2 + 2225142^2 .

It is a cyclic number.

It is not a de Polignac number, because 61205652006013 - 2²¹ = 61205649908861 is a prime.

It is a super-2 number, since 2×61205652006013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61205652006017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30602826003006 + 30602826003007.

It is an arithmetic number, because the mean of its divisors is an integer number (30602826003007).

Almost surely, 2^{61205652006013} is an apocalyptic number.

It is an amenable number.

61205652006013 is a deficient number, since it is larger than the sum of its proper divisors (1).

61205652006013 is an equidigital number, since it uses as much as digits as its factorization.

61205652006013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 61205652006013 its reverse (31060025650216), we get a palindrome (92265677656229).

The spelling of 61205652006013 in words is "sixty-one trillion, two hundred five billion, six hundred fifty-two million, six thousand, thirteen".