202553135321 has 8 divisors (see below), whose sum is σ = 214474445640. Its totient is φ = 190632538368.

The previous prime is 202553135299. The next prime is 202553135359. The reversal of 202553135321 is 123531355202.

202553135321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 81602206921 + 120950928400 = 285661^2 + 347780^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 202553135321 - 2³⁴ = 185373266137 is a prime.

It is a super-3 number, since 3×202553135321³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202553135921) 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 7 ways as a sum of consecutive naturals, for example, 474575 + ... + 793931.

It is an arithmetic number, because the mean of its divisors is an integer number (26809305705).

Almost surely, 2^202553135321 is an apocalyptic number.

It is an amenable number.

202553135321 is a deficient number, since it is larger than the sum of its proper divisors (11921310319).

202553135321 is a wasteful number, since it uses less digits than its factorization.

202553135321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356683.

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 202553135321 in words is "two hundred two billion, five hundred fifty-three million, one hundred thirty-five thousand, three hundred twenty-one".