8087261003721 has 45 divisors (see below), whose sum is σ = 12834108597079. Its totient is φ = 5074086839616.

The previous prime is 8087261003711. The next prime is 8087261003749. The reversal of 8087261003721 is 1273001627808.

The square root of 8087261003721 is 2843811.

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

8087261003721 is a `hidden beast` number, since 8 + 0 + 8 + 7 + 2 + 610 + 0 + 3 + 7 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6296310470025 + 1790950533696 = 2509245^2 + 1338264^2 .

It is not a de Polignac number, because 8087261003721 - 2⁷ = 8087261003593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8087261003711) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 435093790 + ... + 435112376.

Almost surely, 2^{8087261003721} is an apocalyptic number.

8087261003721 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8087261003721 is the 2843811-st square number.

8087261003721 is the 1421906-th centered octagonal number.

It is an amenable number.

8087261003721 is a deficient number, since it is larger than the sum of its proper divisors (4746847593358).

8087261003721 is an frugal number, since it uses more digits than its factorization.

8087261003721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37220 (or 18607 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 8087261003721 in words is "eight trillion, eighty-seven billion, two hundred sixty-one million, three thousand, seven hundred twenty-one".