480735613 has 2 divisors, whose sum is σ = 480735614. Its totient is φ = 480735612.

The previous prime is 480735559. The next prime is 480735641. The reversal of 480735613 is 316537084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 316946809 + 163788804 = 17803^2 + 12798^2 .

It is a cyclic number.

It is not a de Polignac number, because 480735613 - 2²⁵ = 447181181 is a prime.

It is a super-3 number, since 3×480735613³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480735683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240367806 + 240367807.

It is an arithmetic number, because the mean of its divisors is an integer number (240367807).

Almost surely, 2^480735613 is an apocalyptic number.

It is an amenable number.

480735613 is a deficient number, since it is larger than the sum of its proper divisors (1).

480735613 is an equidigital number, since it uses as much as digits as its factorization.

480735613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 480735613 is about 21925.6838661876. The cubic root of 480735613 is about 783.3733001287.

The spelling of 480735613 in words is "four hundred eighty million, seven hundred thirty-five thousand, six hundred thirteen".