482151085641 has 27 divisors (see below), whose sum is σ = 708625235149. Its totient is φ = 315905475192.

The previous prime is 482151085589. The next prime is 482151085649. The reversal of 482151085641 is 146580151284.

The square root of 482151085641 is 694371.

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

482151085641 is a `hidden beast` number, since 4 + 82 + 1 + 5 + 1 + 0 + 8 + 564 + 1 = 666.

It is not a de Polignac number, because 482151085641 - 2¹⁹ = 482150561353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (482151085649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 122901706 + ... + 122905628.

Almost surely, 2^482151085641 is an apocalyptic number.

482151085641 is the 694371-st square number.

482151085641 is the 347186-th centered octagonal number.

It is an amenable number.

482151085641 is a deficient number, since it is larger than the sum of its proper divisors (226474149508).

482151085641 is an frugal number, since it uses more digits than its factorization.

482151085641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 482151085641 in words is "four hundred eighty-two billion, one hundred fifty-one million, eighty-five thousand, six hundred forty-one".