405976513 has 2 divisors, whose sum is σ = 405976514. Its totient is φ = 405976512.

The previous prime is 405976453. The next prime is 405976537. The reversal of 405976513 is 315679504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395691664 + 10284849 = 19892^2 + 3207^2 .

It is a cyclic number.

It is not a de Polignac number, because 405976513 - 2⁹ = 405976001 is a prime.

It is equal to p_21637993 and since 405976513 and 21637993 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 (405976583) 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, 202988256 + 202988257.

It is an arithmetic number, because the mean of its divisors is an integer number (202988257).

Almost surely, 2^405976513 is an apocalyptic number.

It is an amenable number.

405976513 is a deficient number, since it is larger than the sum of its proper divisors (1).

405976513 is an equidigital number, since it uses as much as digits as its factorization.

405976513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 405976513 is about 20148.8588510615. The cubic root of 405976513 is about 740.4577840680.

The spelling of 405976513 in words is "four hundred five million, nine hundred seventy-six thousand, five hundred thirteen".