40105506182501 has 2 divisors, whose sum is σ = 40105506182502. Its totient is φ = 40105506182500.

The previous prime is 40105506182491. The next prime is 40105506182503. The reversal of 40105506182501 is 10528160550104.

40105506182501 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., 20436059431876 + 19669446750625 = 4520626^2 + 4435025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40105506182501 is a prime.

Together with 40105506182503, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40105506182503) 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, 20052753091250 + 20052753091251.

It is an arithmetic number, because the mean of its divisors is an integer number (20052753091251).

Almost surely, 2^{40105506182501} is an apocalyptic number.

It is an amenable number.

40105506182501 is a deficient number, since it is larger than the sum of its proper divisors (1).

40105506182501 is an equidigital number, since it uses as much as digits as its factorization.

40105506182501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48000, while the sum is 38.

The spelling of 40105506182501 in words is "forty trillion, one hundred five billion, five hundred six million, one hundred eighty-two thousand, five hundred one".