54962582481 has 63 divisors (see below), whose sum is σ = 87162341931. Its totient is φ = 34637251104.

The previous prime is 54962582473. The next prime is 54962582483. The reversal of 54962582481 is 18428526945.

The square root of 54962582481 is 234441.

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

54962582481 is a `hidden beast` number, since 5 + 4 + 9 + 625 + 8 + 2 + 4 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47534900625 + 7427681856 = 218025^2 + 86184^2 .

It is not a de Polignac number, because 54962582481 - 2³ = 54962582473 is a prime.

It is a super-2 number, since 2×54962582481² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54962582483) 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 62 ways as a sum of consecutive naturals, for example, 120268005 + ... + 120268461.

It is an arithmetic number, because the mean of its divisors is an integer number (1383529237).

Almost surely, 2^54962582481 is an apocalyptic number.

54962582481 is the 234441-st square number.

54962582481 is the 117221-st centered octagonal number.

It is an amenable number.

54962582481 is a deficient number, since it is larger than the sum of its proper divisors (32199759450).

54962582481 is an frugal number, since it uses more digits than its factorization.

54962582481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 479 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 54962582481 in words is "fifty-four billion, nine hundred sixty-two million, five hundred eighty-two thousand, four hundred eighty-one".