25506008073 has 72 divisors (see below), whose sum is σ = 46213057800. Its totient is φ = 13436430336.

The previous prime is 25506008069. The next prime is 25506008093. The reversal of 25506008073 is 37080060552.

25506008073 is a `hidden beast` number, since 2 + 5 + 506 + 0 + 0 + 80 + 73 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3599640009 + 21906368064 = 59997^2 + 148008^2 .

It is not a de Polignac number, because 25506008073 - 2² = 25506008069 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25506008093) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5323563 + ... + 5328351.

It is an arithmetic number, because the mean of its divisors is an integer number (641848025).

Almost surely, 2^25506008073 is an apocalyptic number.

It is an amenable number.

25506008073 is a deficient number, since it is larger than the sum of its proper divisors (20707049727).

25506008073 is a wasteful number, since it uses less digits than its factorization.

25506008073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 25506008073 in words is "twenty-five billion, five hundred six million, eight thousand, seventy-three".