25205306001 has 16 divisors (see below), whose sum is σ = 35227389120. Its totient is φ = 16012442880.

The previous prime is 25205305991. The next prime is 25205306047. The reversal of 25205306001 is 10060350252.

It is not a de Polignac number, because 25205306001 - 2¹⁰ = 25205304977 is a prime.

It is a super-2 number, since 2×25205306001² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25205206001) 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 15 ways as a sum of consecutive naturals, for example, 2377516 + ... + 2388093.

It is an arithmetic number, because the mean of its divisors is an integer number (2201711820).

Almost surely, 2^25205306001 is an apocalyptic number.

It is an amenable number.

25205306001 is a deficient number, since it is larger than the sum of its proper divisors (10022083119).

25205306001 is a wasteful number, since it uses less digits than its factorization.

25205306001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765696.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 25205306001 its reverse (10060350252), we get a palindrome (35265656253).

The spelling of 25205306001 in words is "twenty-five billion, two hundred five million, three hundred six thousand, one".