61506601567573 has 2 divisors, whose sum is σ = 61506601567574. Its totient is φ = 61506601567572.

The previous prime is 61506601567517. The next prime is 61506601567637. The reversal of 61506601567573 is 37576510660516.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38723526089329 + 22783075478244 = 6222823^2 + 4773162^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61506601567573 is a prime.

It is a super-3 number, since 3×61506601567573³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61506601567513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30753300783786 + 30753300783787.

It is an arithmetic number, because the mean of its divisors is an integer number (30753300783787).

Almost surely, 2^{61506601567573} is an apocalyptic number.

It is an amenable number.

61506601567573 is a deficient number, since it is larger than the sum of its proper divisors (1).

61506601567573 is an equidigital number, since it uses as much as digits as its factorization.

61506601567573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814000, while the sum is 58.

The spelling of 61506601567573 in words is "sixty-one trillion, five hundred six billion, six hundred one million, five hundred sixty-seven thousand, five hundred seventy-three".