2052540321 has 36 divisors (see below), whose sum is σ = 3017101968. Its totient is φ = 1240625568.

The previous prime is 2052540313. The next prime is 2052540323. The reversal of 2052540321 is 1230452502.

It is not a de Polignac number, because 2052540321 - 2³ = 2052540313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2052540291 and 2052540300.

It is not an unprimeable number, because it can be changed into a prime (2052540323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1764286 + ... + 1765448.

It is an arithmetic number, because the mean of its divisors is an integer number (83808388).

Almost surely, 2^2052540321 is an apocalyptic number.

It is an amenable number.

2052540321 is a deficient number, since it is larger than the sum of its proper divisors (964561647).

2052540321 is a wasteful number, since it uses less digits than its factorization.

2052540321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2052540321 is about 45304.9701578094. The cubic root of 2052540321 is about 1270.8586007921.

Adding to 2052540321 its reverse (1230452502), we get a palindrome (3282992823).

The spelling of 2052540321 in words is "two billion, fifty-two million, five hundred forty thousand, three hundred twenty-one".