412561753567 has 2 divisors, whose sum is σ = 412561753568. Its totient is φ = 412561753566.

The previous prime is 412561753459. The next prime is 412561753613. The reversal of 412561753567 is 765357165214.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 412561753567 - 2¹⁵ = 412561720799 is a prime.

It is a super-3 number, since 3×412561753567³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412561757567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206280876783 + 206280876784.

It is an arithmetic number, because the mean of its divisors is an integer number (206280876784).

Almost surely, 2^412561753567 is an apocalyptic number.

412561753567 is a deficient number, since it is larger than the sum of its proper divisors (1).

412561753567 is an equidigital number, since it uses as much as digits as its factorization.

412561753567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292000, while the sum is 52.

The spelling of 412561753567 in words is "four hundred twelve billion, five hundred sixty-one million, seven hundred fifty-three thousand, five hundred sixty-seven".