252120220021 has 16 divisors (see below), whose sum is σ = 257704934400. Its totient is φ = 246583941120.

The previous prime is 252120219991. The next prime is 252120220061. The reversal of 252120220021 is 120022021252.

252120220021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 252120220021 - 2⁹ = 252120219509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252120220061) 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, 22123701 + ... + 22135093.

It is an arithmetic number, because the mean of its divisors is an integer number (16106558400).

Almost surely, 2^252120220021 is an apocalyptic number.

It is an amenable number.

252120220021 is a deficient number, since it is larger than the sum of its proper divisors (5584714379).

252120220021 is a wasteful number, since it uses less digits than its factorization.

252120220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13476.

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 252120220021 its reverse (120022021252), we get a palindrome (372142241273).

The spelling of 252120220021 in words is "two hundred fifty-two billion, one hundred twenty million, two hundred twenty thousand, twenty-one".