25824811401 has 81 divisors (see below), whose sum is σ = 41728183861. Its totient is φ = 15386156544.

The previous prime is 25824811399. The next prime is 25824811451. The reversal of 25824811401 is 10411842852.

The square root of 25824811401 is 160701.

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

25824811401 is a `hidden beast` number, since 2 + 5 + 8 + 248 + 1 + 1 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3611889801 + 22212921600 = 60099^2 + 149040^2 .

It is not a de Polignac number, because 25824811401 - 2¹ = 25824811399 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25824811451) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 188502205 + ... + 188502341.

Almost surely, 2^25824811401 is an apocalyptic number.

25824811401 is the 160701-st square number.

25824811401 is the 80351-st centered octagonal number.

It is an amenable number.

25824811401 is a deficient number, since it is larger than the sum of its proper divisors (15903372460).

25824811401 is a wasteful number, since it uses less digits than its factorization.

25824811401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Multiplying 25824811401 by its sum of digits (36), we get a square (929693210436 = 964206²).

It can be divided in two parts, 25824 and 811401, that added together give a square (837225 = 915²).

The spelling of 25824811401 in words is "twenty-five billion, eight hundred twenty-four million, eight hundred eleven thousand, four hundred one".