61335927712337 has 2 divisors, whose sum is σ = 61335927712338. Its totient is φ = 61335927712336.

The previous prime is 61335927712237. The next prime is 61335927712343. The reversal of 61335927712337 is 73321772953316.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61084369291201 + 251558421136 = 7815649^2 + 501556^2 .

It is a cyclic number.

It is not a de Polignac number, because 61335927712337 - 2¹² = 61335927708241 is a prime.

It is not a weakly prime, because it can be changed into another prime (61335927712237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30667963856168 + 30667963856169.

It is an arithmetic number, because the mean of its divisors is an integer number (30667963856169).

Almost surely, 2^{61335927712337} is an apocalyptic number.

It is an amenable number.

61335927712337 is a deficient number, since it is larger than the sum of its proper divisors (1).

61335927712337 is an equidigital number, since it uses as much as digits as its factorization.

61335927712337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30005640, while the sum is 59.

The spelling of 61335927712337 in words is "sixty-one trillion, three hundred thirty-five billion, nine hundred twenty-seven million, seven hundred twelve thousand, three hundred thirty-seven".