25888488201 has 9 divisors (see below), whose sum is σ = 37395180199. Its totient is φ = 17258670336.

The previous prime is 25888488191. The next prime is 25888488229. The reversal of 25888488201 is 10288488852.

The square root of 25888488201 is 160899.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3918134025 + 21970354176 = 62595^2 + 148224^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 25888488201 - 2¹¹ = 25888486153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25888488271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 455881 + ... + 509513.

Almost surely, 2^25888488201 is an apocalyptic number.

25888488201 is the 160899-th square number.

25888488201 is the 80450-th centered octagonal number.

It is an amenable number.

25888488201 is a deficient number, since it is larger than the sum of its proper divisors (11506691998).

25888488201 is an frugal number, since it uses more digits than its factorization.

25888488201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107272 (or 53636 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

It can be divided in two parts, 25888 and 488201, that added together give a square (514089 = 717²).

The spelling of 25888488201 in words is "twenty-five billion, eight hundred eighty-eight million, four hundred eighty-eight thousand, two hundred one".