40182004036513 has 2 divisors, whose sum is σ = 40182004036514. Its totient is φ = 40182004036512.

The previous prime is 40182004036511. The next prime is 40182004036637. The reversal of 40182004036513 is 31563040028104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37280647100944 + 2901356935569 = 6105788^2 + 1703337^2 .

It is a cyclic number.

It is not a de Polignac number, because 40182004036513 - 2¹ = 40182004036511 is a prime.

It is a super-2 number, since 2×40182004036513² (a number of 28 digits) contains 22 as substring.

Together with 40182004036511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (40182004036511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20091002018256 + 20091002018257.

It is an arithmetic number, because the mean of its divisors is an integer number (20091002018257).

Almost surely, 2^{40182004036513} is an apocalyptic number.

It is an amenable number.

40182004036513 is a deficient number, since it is larger than the sum of its proper divisors (1).

40182004036513 is an equidigital number, since it uses as much as digits as its factorization.

40182004036513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 40182004036513 in words is "forty trillion, one hundred eighty-two billion, four million, thirty-six thousand, five hundred thirteen".