8100540009 has 27 divisors (see below), whose sum is σ = 12356848413. Its totient is φ = 5112890424.

The previous prime is 8100539987. The next prime is 8100540011. The reversal of 8100540009 is 9000450018.

The square root of 8100540009 is 90003.

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

It is not a de Polignac number, because 8100540009 - 2⁵ = 8100539977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8100540089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5129382 + ... + 5130960.

Almost surely, 2^8100540009 is an apocalyptic number.

8100540009 is the 90003-rd square number.

8100540009 is the 45002-nd centered octagonal number.

It is an amenable number.

8100540009 is a deficient number, since it is larger than the sum of its proper divisors (4256308404).

8100540009 is an equidigital number, since it uses as much as digits as its factorization.

8100540009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 8100540009 is about 2008.3434788619.

The spelling of 8100540009 in words is "eight billion, one hundred million, five hundred forty thousand, nine".