253213144001 has 8 divisors (see below), whose sum is σ = 266952127680. Its totient is φ = 239515357968.

The previous prime is 253213143983. The next prime is 253213144049. The reversal of 253213144001 is 100441312352.

It is a happy number.

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

It is not a de Polignac number, because 253213144001 - 2²⁶ = 253146035137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253213144091) 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 7 ways as a sum of consecutive naturals, for example, 10286786 + ... + 10311371.

It is an arithmetic number, because the mean of its divisors is an integer number (33369015960).

Almost surely, 2^253213144001 is an apocalyptic number.

It is an amenable number.

253213144001 is a deficient number, since it is larger than the sum of its proper divisors (13738983679).

253213144001 is a wasteful number, since it uses less digits than its factorization.

253213144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20598823.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 253213144001 its reverse (100441312352), we get a palindrome (353654456353).

The spelling of 253213144001 in words is "two hundred fifty-three billion, two hundred thirteen million, one hundred forty-four thousand, one".