252011232331001 has 24 divisors (see below), whose sum is σ = 298314682174152. Its totient is φ = 211476118233600.

The previous prime is 252011232330961. The next prime is 252011232331051. The reversal of 252011232331001 is 100133232110252.

It can be written as a sum of positive squares in 4 ways, for example, as 2005296727225 + 250005935603776 = 1416085^2 + 15811576^2 .

It is not a de Polignac number, because 252011232331001 - 2³⁸ = 251736354424057 is a prime.

It is a super-2 number, since 2×252011232331001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252011232331051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198321275 + ... + 199587951.

It is an arithmetic number, because the mean of its divisors is an integer number (12429778423923).

Almost surely, 2^{252011232331001} is an apocalyptic number.

It is an amenable number.

252011232331001 is a deficient number, since it is larger than the sum of its proper divisors (46303449843151).

252011232331001 is a wasteful number, since it uses less digits than its factorization.

252011232331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393193 (or 1393182 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 252011232331001 its reverse (100133232110252), we get a palindrome (352144464441253).

The spelling of 252011232331001 in words is "two hundred fifty-two trillion, eleven billion, two hundred thirty-two million, three hundred thirty-one thousand, one".