480135631 has 2 divisors, whose sum is σ = 480135632. Its totient is φ = 480135630.

The previous prime is 480135611. The next prime is 480135647. The reversal of 480135631 is 136531084.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 480135631 - 2¹⁵ = 480102863 is a prime.

It is a super-3 number, since 3×480135631³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 480135593 and 480135602.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480135611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240067815 + 240067816.

It is an arithmetic number, because the mean of its divisors is an integer number (240067816).

Almost surely, 2^480135631 is an apocalyptic number.

480135631 is a deficient number, since it is larger than the sum of its proper divisors (1).

480135631 is an equidigital number, since it uses as much as digits as its factorization.

480135631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 480135631 is about 21911.9974215040. The cubic root of 480135631 is about 783.0472681517.

The spelling of 480135631 in words is "four hundred eighty million, one hundred thirty-five thousand, six hundred thirty-one".