47564566546537 has 2 divisors, whose sum is σ = 47564566546538. Its totient is φ = 47564566546536.

The previous prime is 47564566546481. The next prime is 47564566546579. The reversal of 47564566546537 is 73564566546574.

47564566546537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31763774596096 + 15800791950441 = 5635936^2 + 3975021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-47564566546537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47564566546537.

It is not a weakly prime, because it can be changed into another prime (47564066546537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23782283273268 + 23782283273269.

It is an arithmetic number, because the mean of its divisors is an integer number (23782283273269).

Almost surely, 2^{47564566546537} is an apocalyptic number.

It is an amenable number.

47564566546537 is a deficient number, since it is larger than the sum of its proper divisors (1).

47564566546537 is an equidigital number, since it uses as much as digits as its factorization.

47564566546537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7620480000, while the sum is 73.

The spelling of 47564566546537 in words is "forty-seven trillion, five hundred sixty-four billion, five hundred sixty-six million, five hundred forty-six thousand, five hundred thirty-seven".