1004887958481 has 81 divisors (see below), whose sum is σ = 1641741244689. Its totient is φ = 591841166400.

The previous prime is 1004887958401. The next prime is 1004887958483. The reversal of 1004887958481 is 1848597884001.

The square root of 1004887958481 is 1002441.

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

1004887958481 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 88 + 79 + 5 + 8 + 481 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47652707025 + 957235251456 = 218295^2 + 978384^2 .

It is not a de Polignac number, because 1004887958481 - 2¹¹ = 1004887956433 is a prime.

It is a super-2 number, since 2×1004887958481² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004887958483) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1223980051 + ... + 1223980871.

Almost surely, 2^{1004887958481} is an apocalyptic number.

1004887958481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1004887958481 is the 1002441-st square number.

1004887958481 is the 501221-st centered octagonal number.

It is an amenable number.

1004887958481 is a deficient number, since it is larger than the sum of its proper divisors (636853286208).

1004887958481 is an frugal number, since it uses more digits than its factorization.

1004887958481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 1004887958481 in words is "one trillion, four billion, eight hundred eighty-seven million, nine hundred fifty-eight thousand, four hundred eighty-one".