25248892201 has 27 divisors (see below), whose sum is σ = 29083836261. Its totient is φ = 21905180544.

The previous prime is 25248892187. The next prime is 25248892213. The reversal of 25248892201 is 10229884252.

The square root of 25248892201 is 158899.

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

It can be written as a sum of positive squares in 4 ways, for example, as 227979801 + 25020912400 = 15099^2 + 158180^2 .

It is not a de Polignac number, because 25248892201 - 2⁷ = 25248892073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25248892901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35116320 + ... + 35117038.

Almost surely, 2^25248892201 is an apocalyptic number.

25248892201 is the 158899-th square number.

25248892201 is the 79450-th centered octagonal number.

It is an amenable number.

25248892201 is a deficient number, since it is larger than the sum of its proper divisors (3834944060).

25248892201 is an frugal number, since it uses more digits than its factorization.

25248892201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 25248892201 in words is "twenty-five billion, two hundred forty-eight million, eight hundred ninety-two thousand, two hundred one".