40513723 has 2 divisors, whose sum is σ = 40513724. Its totient is φ = 40513722.

The previous prime is 40513709. The next prime is 40513729. The reversal of 40513723 is 32731504.

40513723 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 is a cyclic number.

It is not a de Polignac number, because 40513723 - 2⁵ = 40513691 is a prime.

It is equal to p_2463028 and since 40513723 and 2463028 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (40513729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20256861 + 20256862.

It is an arithmetic number, because the mean of its divisors is an integer number (20256862).

Almost surely, 2^40513723 is an apocalyptic number.

40513723 is a deficient number, since it is larger than the sum of its proper divisors (1).

40513723 is an equidigital number, since it uses as much as digits as its factorization.

40513723 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 40513723 is about 6365.0391200683. The cubic root of 40513723 is about 343.4530558268.

The spelling of 40513723 in words is "forty million, five hundred thirteen thousand, seven hundred twenty-three".