12573773748533 has 2 divisors, whose sum is σ = 12573773748534. Its totient is φ = 12573773748532.

The previous prime is 12573773748479. The next prime is 12573773748553. The reversal of 12573773748533 is 33584737737521.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10114390777969 + 2459382970564 = 3180313^2 + 1568242^2 .

It is a cyclic number.

It is not a de Polignac number, because 12573773748533 - 2¹⁸ = 12573773486389 is a prime.

It is a super-2 number, since 2×12573773748533² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12573773748533.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12573773748553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6286886874266 + 6286886874267.

It is an arithmetic number, because the mean of its divisors is an integer number (6286886874267).

Almost surely, 2^{12573773748533} is an apocalyptic number.

It is an amenable number.

12573773748533 is a deficient number, since it is larger than the sum of its proper divisors (1).

12573773748533 is an equidigital number, since it uses as much as digits as its factorization.

12573773748533 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311169600, while the sum is 65.

The spelling of 12573773748533 in words is "twelve trillion, five hundred seventy-three billion, seven hundred seventy-three million, seven hundred forty-eight thousand, five hundred thirty-three".