2253112132401 has 24 divisors (see below), whose sum is σ = 3510915448040. Its totient is φ = 1384127502336.

The previous prime is 2253112132391. The next prime is 2253112132417. The reversal of 2253112132401 is 1042312113522.

It is a happy number.

2253112132401 is a `hidden beast` number, since 2 + 2 + 5 + 311 + 21 + 324 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 874507392801 + 1378604739600 = 935151^2 + 1174140^2 .

It is not a de Polignac number, because 2253112132401 - 2⁹ = 2253112131889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2253112132441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16619986 + ... + 16755003.

Almost surely, 2^{2253112132401} is an apocalyptic number.

It is an amenable number.

2253112132401 is a deficient number, since it is larger than the sum of its proper divisors (1257803315639).

2253112132401 is a wasteful number, since it uses less digits than its factorization.

2253112132401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33375585 (or 33375582 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2253112132401 its reverse (1042312113522), we get a palindrome (3295424245923).

The spelling of 2253112132401 in words is "two trillion, two hundred fifty-three billion, one hundred twelve million, one hundred thirty-two thousand, four hundred one".