480483262561 has 3 divisors (see below), whose sum is σ = 480483955731. Its totient is φ = 480482569392.

The previous prime is 480483262547. The next prime is 480483262577. The reversal of 480483262561 is 165262384084.

The square root of 480483262561 is 693169.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 446332222561 + 34151040000 = 668081^2 + 184800^2 .

It is a de Polignac number, because none of the positive numbers 2^k-480483262561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480483262531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 346585 + ... + 1039753.

It is an arithmetic number, because the mean of its divisors is an integer number (160161318577).

Almost surely, 2^480483262561 is an apocalyptic number.

480483262561 is the 693169-th square number.

480483262561 is the 346585-th centered octagonal number.

It is an amenable number.

480483262561 is a deficient number, since it is larger than the sum of its proper divisors (693170).

480483262561 is an frugal number, since it uses more digits than its factorization.

480483262561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386338 (or 693169 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

Multiplying 480483262561 by its sum of digits (49), we get a square (23543679865489 = 4852183²).

It can be divided in two parts, 480483 and 262561, that added together give a square (743044 = 862²).

The spelling of 480483262561 in words is "four hundred eighty billion, four hundred eighty-three million, two hundred sixty-two thousand, five hundred sixty-one".