406513 has 2 divisors, whose sum is σ = 406514. Its totient is φ = 406512.

The previous prime is 406507. The next prime is 406517. The reversal of 406513 is 315604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219024 + 187489 = 468^2 + 433^2 .

It is a cyclic number.

It is not a de Polignac number, because 406513 - 2⁵ = 406481 is a prime.

It is not a weakly prime, because it can be changed into another prime (406517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203256 + 203257.

It is an arithmetic number, because the mean of its divisors is an integer number (203257).

2⁴⁰⁶⁵¹³ is an apocalyptic number.

It is an amenable number.

406513 is a deficient number, since it is larger than the sum of its proper divisors (1).

406513 is an equidigital number, since it uses as much as digits as its factorization.

406513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 406513 is about 637.5837199929. The cubic root of 406513 is about 74.0783805490.

Subtracting from 406513 its reverse (315604), we obtain a palindrome (90909).

It can be divided in two parts, 406 and 513, that added together give a palindrome (919).

The spelling of 406513 in words is "four hundred six thousand, five hundred thirteen".