40524144244513 has 2 divisors, whose sum is σ = 40524144244514. Its totient is φ = 40524144244512.

The previous prime is 40524144244511. The next prime is 40524144244541. The reversal of 40524144244513 is 31544244142504.

40524144244513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32622968569104 + 7901175675409 = 5711652^2 + 2810903^2 .

It is a cyclic number.

It is not a de Polignac number, because 40524144244513 - 2¹ = 40524144244511 is a prime.

It is a super-2 number, since 2×40524144244513² (a number of 28 digits) contains 22 as substring.

Together with 40524144244511, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 40524144244513.

It is not a weakly prime, because it can be changed into another prime (40524144244511) 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, 20262072122256 + 20262072122257.

It is an arithmetic number, because the mean of its divisors is an integer number (20262072122257).

Almost surely, 2^{40524144244513} is an apocalyptic number.

It is an amenable number.

40524144244513 is a deficient number, since it is larger than the sum of its proper divisors (1).

40524144244513 is an equidigital number, since it uses as much as digits as its factorization.

40524144244513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1228800, while the sum is 43.

The spelling of 40524144244513 in words is "forty trillion, five hundred twenty-four billion, one hundred forty-four million, two hundred forty-four thousand, five hundred thirteen".