25004148129 has 9 divisors (see below), whose sum is σ = 36117788083. Its totient is φ = 16669115832.

The previous prime is 25004148107. The next prime is 25004148133. The reversal of 25004148129 is 92184140052.

The square root of 25004148129 is 158127.

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

25004148129 is a `hidden beast` number, since 2 + 500 + 4 + 148 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1022528529 + 23981619600 = 31977^2 + 154860^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 25004148129 - 2¹¹ = 25004146081 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 25004148093 and 25004148102.

It is not an unprimeable number, because it can be changed into a prime (25004148179) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 448027 + ... + 500735.

Almost surely, 2^25004148129 is an apocalyptic number.

25004148129 is the 158127-th square number.

25004148129 is the 79064-th centered octagonal number.

It is an amenable number.

25004148129 is a deficient number, since it is larger than the sum of its proper divisors (11113639954).

25004148129 is an frugal number, since it uses more digits than its factorization.

25004148129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105424 (or 52712 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 25004148129 by its sum of digits (36), we get a square (900149332644 = 948762²).

The spelling of 25004148129 in words is "twenty-five billion, four million, one hundred forty-eight thousand, one hundred twenty-nine".