25471840801 has 15 divisors (see below), whose sum is σ = 28040109505. Its totient is φ = 23138663020.

The previous prime is 25471840789. The next prime is 25471840829. The reversal of 25471840801 is 10804817452.

The square root of 25471840801 is 159599.

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

It is not a de Polignac number, because 25471840801 - 2¹⁷ = 25471709729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25471840861) 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 14 ways as a sum of consecutive naturals, for example, 19310820 + ... + 19312138.

Almost surely, 2^25471840801 is an apocalyptic number.

25471840801 is the 159599-th square number.

25471840801 is the 79800-th centered octagonal number.

It is an amenable number.

25471840801 is a deficient number, since it is larger than the sum of its proper divisors (2568268704).

25471840801 is an frugal number, since it uses more digits than its factorization.

25471840801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 25471840801 in words is "twenty-five billion, four hundred seventy-one million, eight hundred forty thousand, eight hundred one".