25351144260201 has 48 divisors (see below), whose sum is σ = 38282260528512. Its totient is φ = 16135563840000.

The previous prime is 25351144260191. The next prime is 25351144260257. The reversal of 25351144260201 is 10206244115352.

25351144260201 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 1 + 1 + 4 + 42 + 602 + 0 + 1 = 666.

It is not a de Polignac number, because 25351144260201 - 2²⁵ = 25351110705769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25351104260201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748886926 + ... + 748920776.

It is an arithmetic number, because the mean of its divisors is an integer number (797547094344).

Almost surely, 2^{25351144260201} is an apocalyptic number.

It is an amenable number.

25351144260201 is a deficient number, since it is larger than the sum of its proper divisors (12931116268311).

25351144260201 is a wasteful number, since it uses less digits than its factorization.

25351144260201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40574 (or 40571 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 25351144260201 its reverse (10206244115352), we get a palindrome (35557388375553).

The spelling of 25351144260201 in words is "twenty-five trillion, three hundred fifty-one billion, one hundred forty-four million, two hundred sixty thousand, two hundred one".