481015319 has 2 divisors, whose sum is σ = 481015320. Its totient is φ = 481015318.

The previous prime is 481015291. The next prime is 481015331. The reversal of 481015319 is 913510184.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 481015319 - 2¹⁶ = 480949783 is a prime.

It is a super-3 number, since 3×481015319³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (481015369) 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, 240507659 + 240507660.

It is an arithmetic number, because the mean of its divisors is an integer number (240507660).

Almost surely, 2^481015319 is an apocalyptic number.

481015319 is a deficient number, since it is larger than the sum of its proper divisors (1).

481015319 is an equidigital number, since it uses as much as digits as its factorization.

481015319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 481015319 is about 21932.0614398191. The cubic root of 481015319 is about 783.5252004834.

The spelling of 481015319 in words is "four hundred eighty-one million, fifteen thousand, three hundred nineteen".