480825104731457 has 2 divisors, whose sum is σ = 480825104731458. Its totient is φ = 480825104731456.

The previous prime is 480825104731453. The next prime is 480825104731459. The reversal of 480825104731457 is 754137401528084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 354278826711616 + 126546278019841 = 18822296^2 + 11249279^2 .

It is a cyclic number.

It is not a de Polignac number, because 480825104731457 - 2² = 480825104731453 is a prime.

It is a super-3 number, since 3×480825104731457³ (a number of 45 digits) contains 333 as substring.

Together with 480825104731459, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 480825104731396 and 480825104731405.

It is not a weakly prime, because it can be changed into another prime (480825104731453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240412552365728 + 240412552365729.

It is an arithmetic number, because the mean of its divisors is an integer number (240412552365729).

Almost surely, 2^{480825104731457} is an apocalyptic number.

It is an amenable number.

480825104731457 is a deficient number, since it is larger than the sum of its proper divisors (1).

480825104731457 is an equidigital number, since it uses as much as digits as its factorization.

480825104731457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30105600, while the sum is 59.

The spelling of 480825104731457 in words is "four hundred eighty trillion, eight hundred twenty-five billion, one hundred four million, seven hundred thirty-one thousand, four hundred fifty-seven".