480876307341653 has 2 divisors, whose sum is σ = 480876307341654. Its totient is φ = 480876307341652.

The previous prime is 480876307341587. The next prime is 480876307341701. The reversal of 480876307341653 is 356143703678084.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 465921636107524 + 14954671234129 = 21585218^2 + 3867127^2 .

It is a cyclic number.

It is not a de Polignac number, because 480876307341653 - 2⁴⁰ = 479776795713877 is a prime.

It is a super-3 number, since 3×480876307341653³ (a number of 45 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 480876307341653.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480876307341853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240438153670826 + 240438153670827.

It is an arithmetic number, because the mean of its divisors is an integer number (240438153670827).

Almost surely, 2^{480876307341653} is an apocalyptic number.

It is an amenable number.

480876307341653 is a deficient number, since it is larger than the sum of its proper divisors (1).

480876307341653 is an equidigital number, since it uses as much as digits as its factorization.

480876307341653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243855360, while the sum is 65.

The spelling of 480876307341653 in words is "four hundred eighty trillion, eight hundred seventy-six billion, three hundred seven million, three hundred forty-one thousand, six hundred fifty-three".