480529688057009 has 2 divisors, whose sum is σ = 480529688057010. Its totient is φ = 480529688057008.

The previous prime is 480529688056973. The next prime is 480529688057011. The reversal of 480529688057009 is 900750886925084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 316607040837025 + 163922647219984 = 17793455^2 + 12803228^2 .

It is a cyclic number.

It is not a de Polignac number, because 480529688057009 - 2¹² = 480529688052913 is a prime.

It is a super-2 number, since 2×480529688057009² (a number of 30 digits) contains 22 as substring.

Together with 480529688057011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (480529688057609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240264844028504 + 240264844028505.

It is an arithmetic number, because the mean of its divisors is an integer number (240264844028505).

Almost surely, 2^{480529688057009} is an apocalyptic number.

It is an amenable number.

480529688057009 is a deficient number, since it is larger than the sum of its proper divisors (1).

480529688057009 is an equidigital number, since it uses as much as digits as its factorization.

480529688057009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 348364800, while the sum is 71.

The spelling of 480529688057009 in words is "four hundred eighty trillion, five hundred twenty-nine billion, six hundred eighty-eight million, fifty-seven thousand, nine".