540516001 has 9 divisors (see below), whose sum is σ = 550289649. Its totient is φ = 530914164.

The previous prime is 540515981. The next prime is 540516029. The reversal of 540516001 is 100615045.

The square root of 540516001 is 23249.

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

It is not a de Polignac number, because 540516001 - 2⁷ = 540515873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540516061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1557510 + ... + 1557856.

Almost surely, 2^540516001 is an apocalyptic number.

540516001 is the 23249-th square number.

540516001 is the 11625-th centered octagonal number.

It is an amenable number.

540516001 is a deficient number, since it is larger than the sum of its proper divisors (9773648).

540516001 is an frugal number, since it uses more digits than its factorization.

540516001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The cubic root of 540516001 is about 814.5845805914.

The spelling of 540516001 in words is "five hundred forty million, five hundred sixteen thousand, one".