413053 has 2 divisors, whose sum is σ = 413054. Its totient is φ = 413052.

The previous prime is 413033. The next prime is 413069. The reversal of 413053 is 350314.

It is an a-pointer prime, because the next prime (413069) can be obtained adding 413053 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 356409 + 56644 = 597^2 + 238^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413053 is a prime.

It is a super-2 number, since 2×413053² = 341225561618, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206526 + 206527.

It is an arithmetic number, because the mean of its divisors is an integer number (206527).

2⁴¹³⁰⁵³ is an apocalyptic number.

It is an amenable number.

413053 is a deficient number, since it is larger than the sum of its proper divisors (1).

413053 is an equidigital number, since it uses as much as digits as its factorization.

413053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 413053 is about 642.6919946600. The cubic root of 413053 is about 74.4735278228.

Adding to 413053 its reverse (350314), we get a palindrome (763367).

The spelling of 413053 in words is "four hundred thirteen thousand, fifty-three".