488613582081 has 27 divisors (see below), whose sum is σ = 723536373027. Its totient is φ = 317741531040.

The previous prime is 488613582073. The next prime is 488613582091. The reversal of 488613582081 is 180285316884.

The square root of 488613582081 is 699009.

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

488613582081 is a `hidden beast` number, since 4 + 8 + 86 + 1 + 358 + 208 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23544140481 + 465069441600 = 153441^2 + 681960^2 .

It is not a de Polignac number, because 488613582081 - 2³ = 488613582073 is a prime.

It is a super-2 number, since 2×488613582081² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (488613582011) 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, 85975266 + ... + 85980948.

Almost surely, 2^488613582081 is an apocalyptic number.

488613582081 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

488613582081 is the 699009-th square number.

488613582081 is the 349505-th centered octagonal number.

It is an amenable number.

488613582081 is a deficient number, since it is larger than the sum of its proper divisors (234922790946).

488613582081 is an frugal number, since it uses more digits than its factorization.

488613582081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 488613582081 in words is "four hundred eighty-eight billion, six hundred thirteen million, five hundred eighty-two thousand, eighty-one".