482815132801 has 9 divisors (see below), whose sum is σ = 509577827553. Its totient is φ = 457391302740.

The previous prime is 482815132741. The next prime is 482815132843. The reversal of 482815132801 is 108231518284.

The square root of 482815132801 is 694849.

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

It is a de Polignac number, because none of the positive numbers 2^k-482815132801 is a prime.

It is a super-2 number, since 2×482815132801² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (482815130801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13183846 + ... + 13220416.

It is an arithmetic number, because the mean of its divisors is an integer number (56619758617).

Almost surely, 2^482815132801 is an apocalyptic number.

482815132801 is the 694849-th square number.

482815132801 is the 347425-th centered octagonal number.

It is an amenable number.

482815132801 is a deficient number, since it is larger than the sum of its proper divisors (26762694752).

482815132801 is an frugal number, since it uses more digits than its factorization.

482815132801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73180 (or 36590 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 482815132801 in words is "four hundred eighty-two billion, eight hundred fifteen million, one hundred thirty-two thousand, eight hundred one".