540594033001 has 9 divisors (see below), whose sum is σ = 594215554359. Its totient is φ = 491441768400.

The previous prime is 540594032987. The next prime is 540594033053. The reversal of 540594033001 is 100330495045.

The square root of 540594033001 is 735251.

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

It can be written as a sum of positive squares in only one way, i.e., 175101239401 + 365492793600 = 418451^2 + 604560^2 .

It is not a de Polignac number, because 540594033001 - 2¹¹ = 540594030953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540594033701) 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, 8054341 + ... + 8121181.

Almost surely, 2^540594033001 is an apocalyptic number.

540594033001 is the 735251-st square number.

540594033001 is the 367626-th centered octagonal number.

It is an amenable number.

540594033001 is a deficient number, since it is larger than the sum of its proper divisors (53621521358).

540594033001 is an frugal number, since it uses more digits than its factorization.

540594033001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133704 (or 66852 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 540594033001 in words is "five hundred forty billion, five hundred ninety-four million, thirty-three thousand, one".