416513 has 2 divisors, whose sum is σ = 416514. Its totient is φ = 416512.

The previous prime is 416503. The next prime is 416531. The reversal of 416513 is 315614.

Together with next prime (416531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 350464 + 66049 = 592^2 + 257^2 .

It is a cyclic number.

It is not a de Polignac number, because 416513 - 2⁴ = 416497 is a prime.

It is not a weakly prime, because it can be changed into another prime (416503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208256 + 208257.

It is an arithmetic number, because the mean of its divisors is an integer number (208257).

2⁴¹⁶⁵¹³ is an apocalyptic number.

It is an amenable number.

416513 is a deficient number, since it is larger than the sum of its proper divisors (1).

416513 is an equidigital number, since it uses as much as digits as its factorization.

416513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 20.

The square root of 416513 is about 645.3781837032. The cubic root of 416513 is about 74.6808960799.

It can be divided in two parts, 4165 and 13, that multiplied together give a palindrome (54145).

The spelling of 416513 in words is "four hundred sixteen thousand, five hundred thirteen".