61637041121 has 2 divisors, whose sum is σ = 61637041122. Its totient is φ = 61637041120.

The previous prime is 61637041097. The next prime is 61637041139. The reversal of 61637041121 is 12114073616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61622601121 + 14440000 = 248239^2 + 3800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61637041121 is a prime.

It is not a weakly prime, because it can be changed into another prime (61637041021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30818520560 + 30818520561.

It is an arithmetic number, because the mean of its divisors is an integer number (30818520561).

Almost surely, 2^61637041121 is an apocalyptic number.

It is an amenable number.

61637041121 is a deficient number, since it is larger than the sum of its proper divisors (1).

61637041121 is an equidigital number, since it uses as much as digits as its factorization.

61637041121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 61637041121 in words is "sixty-one billion, six hundred thirty-seven million, forty-one thousand, one hundred twenty-one".