252135201141 has 20 divisors (see below), whose sum is σ = 378727353004. Its totient is φ = 167161449600.

The previous prime is 252135201103. The next prime is 252135201151. The reversal of 252135201141 is 141102531252.

It is a happy number.

252135201141 is a `hidden beast` number, since 2 + 5 + 21 + 3 + 520 + 114 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124664780241 + 127470420900 = 353079^2 + 357030^2 .

It is not a de Polignac number, because 252135201141 - 2¹⁸ = 252134938997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252135201151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8584180 + ... + 8613501.

Almost surely, 2^252135201141 is an apocalyptic number.

It is an amenable number.

252135201141 is a deficient number, since it is larger than the sum of its proper divisors (126592151863).

252135201141 is a wasteful number, since it uses less digits than its factorization.

252135201141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17197874 (or 17197865 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 252135201141 its reverse (141102531252), we get a palindrome (393237732393).

The spelling of 252135201141 in words is "two hundred fifty-two billion, one hundred thirty-five million, two hundred one thousand, one hundred forty-one".