406382513 has 2 divisors, whose sum is σ = 406382514. Its totient is φ = 406382512.

The previous prime is 406382491. The next prime is 406382527. The reversal of 406382513 is 315283604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 345104929 + 61277584 = 18577^2 + 7828^2 .

It is a cyclic number.

It is not a de Polignac number, because 406382513 - 2¹⁰ = 406381489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406382513.

It is not a weakly prime, because it can be changed into another prime (406382593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203191256 + 203191257.

It is an arithmetic number, because the mean of its divisors is an integer number (203191257).

Almost surely, 2^406382513 is an apocalyptic number.

It is an amenable number.

406382513 is a deficient number, since it is larger than the sum of its proper divisors (1).

406382513 is an equidigital number, since it uses as much as digits as its factorization.

406382513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 406382513 is about 20158.9313456840. The cubic root of 406382513 is about 740.7045353717.

The spelling of 406382513 in words is "four hundred six million, three hundred eighty-two thousand, five hundred thirteen".