25408041201 has 45 divisors (see below), whose sum is σ = 38580343131. Its totient is φ = 16664209056.

The previous prime is 25408041199. The next prime is 25408041221. The reversal of 25408041201 is 10214080452.

The square root of 25408041201 is 159399.

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

25408041201 is a `hidden beast` number, since 2 + 540 + 80 + 41 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4878882801 + 20529158400 = 69849^2 + 143280^2 .

It is not a de Polignac number, because 25408041201 - 2¹ = 25408041199 is a prime.

It is a super-3 number, since 3×25408041201³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25408041221) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 127678500 + ... + 127678698.

Almost surely, 2^25408041201 is an apocalyptic number.

25408041201 is the 159399-th square number.

25408041201 is the 79700-th centered octagonal number.

It is an amenable number.

25408041201 is a deficient number, since it is larger than the sum of its proper divisors (13172301930).

25408041201 is an frugal number, since it uses more digits than its factorization.

25408041201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 25408041201 in words is "twenty-five billion, four hundred eight million, forty-one thousand, two hundred one".