25552342201 has 9 divisors (see below), whose sum is σ = 27146724591. Its totient is φ = 24046705632.

The previous prime is 25552342199. The next prime is 25552342213. The reversal of 25552342201 is 10224325552.

The square root of 25552342201 is 159851.

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., 19893692025 + 5658650176 = 141045^2 + 75224^2 .

It is not a de Polignac number, because 25552342201 - 2¹ = 25552342199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25552340201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2712766 + ... + 2722168.

Almost surely, 2^25552342201 is an apocalyptic number.

25552342201 is the 159851-st square number.

25552342201 is the 79926-th centered octagonal number.

It is an amenable number.

25552342201 is a deficient number, since it is larger than the sum of its proper divisors (1594382390).

25552342201 is an frugal number, since it uses more digits than its factorization.

25552342201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18840 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 25552342201 its reverse (10224325552), we get a palindrome (35776667753).

The spelling of 25552342201 in words is "twenty-five billion, five hundred fifty-two million, three hundred forty-two thousand, two hundred one".