1052540321 has 16 divisors (see below), whose sum is σ = 1274736000. Its totient is φ = 848942208.

The previous prime is 1052540311. The next prime is 1052540341. The reversal of 1052540321 is 1230452501.

It is a cyclic number.

It is not a de Polignac number, because 1052540321 - 2⁶ = 1052540257 is a prime.

It is a super-3 number, since 3×1052540321³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1052540311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6740 + ... + 46373.

It is an arithmetic number, because the mean of its divisors is an integer number (79671000).

Almost surely, 2^1052540321 is an apocalyptic number.

It is an amenable number.

1052540321 is a deficient number, since it is larger than the sum of its proper divisors (222195679).

1052540321 is a wasteful number, since it uses less digits than its factorization.

1052540321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53288.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1052540321 is about 32442.8778162481. The cubic root of 1052540321 is about 1017.2153706462.

Adding to 1052540321 its reverse (1230452501), we get a palindrome (2282992822).

The spelling of 1052540321 in words is "one billion, fifty-two million, five hundred forty thousand, three hundred twenty-one".