61586565137 has 2 divisors, whose sum is σ = 61586565138. Its totient is φ = 61586565136.

The previous prime is 61586565127. The next prime is 61586565253. The reversal of 61586565137 is 73156568516.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61551625216 + 34939921 = 248096^2 + 5911^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61586565137 is a prime.

It is not a weakly prime, because it can be changed into another prime (61586565127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30793282568 + 30793282569.

It is an arithmetic number, because the mean of its divisors is an integer number (30793282569).

Almost surely, 2^61586565137 is an apocalyptic number.

It is an amenable number.

61586565137 is a deficient number, since it is larger than the sum of its proper divisors (1).

61586565137 is an equidigital number, since it uses as much as digits as its factorization.

61586565137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536000, while the sum is 53.

The spelling of 61586565137 in words is "sixty-one billion, five hundred eighty-six million, five hundred sixty-five thousand, one hundred thirty-seven".