400505513 has 2 divisors, whose sum is σ = 400505514. Its totient is φ = 400505512.

The previous prime is 400505491. The next prime is 400505537. The reversal of 400505513 is 315505004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 255616144 + 144889369 = 15988^2 + 12037^2 .

It is a cyclic number.

It is not a de Polignac number, because 400505513 - 2¹⁴ = 400489129 is a prime.

It is a super-3 number, since 3×400505513³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (400505563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200252756 + 200252757.

It is an arithmetic number, because the mean of its divisors is an integer number (200252757).

Almost surely, 2^400505513 is an apocalyptic number.

It is an amenable number.

400505513 is a deficient number, since it is larger than the sum of its proper divisors (1).

400505513 is an equidigital number, since it uses as much as digits as its factorization.

400505513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 400505513 is about 20012.6338346555. The cubic root of 400505513 is about 737.1165567015.

The spelling of 400505513 in words is "four hundred million, five hundred five thousand, five hundred thirteen".