540051121 has 9 divisors (see below), whose sum is σ = 574107499. Its totient is φ = 507911584.

The previous prime is 540051119. The next prime is 540051151. The reversal of 540051121 is 121150045.

The square root of 540051121 is 23239.

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., 420455025 + 119596096 = 20505^2 + 10936^2 .

It is not a de Polignac number, because 540051121 - 2¹ = 540051119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540051151) 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, 394380 + ... + 395746.

Almost surely, 2^540051121 is an apocalyptic number.

540051121 is the 23239-th square number.

540051121 is the 11620-th centered octagonal number.

It is an amenable number.

540051121 is a deficient number, since it is larger than the sum of its proper divisors (34056378).

540051121 is an frugal number, since it uses more digits than its factorization.

540051121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The cubic root of 540051121 is about 814.3509811571.

The spelling of 540051121 in words is "five hundred forty million, fifty-one thousand, one hundred twenty-one".