25302005001 has 144 divisors (see below), whose sum is σ = 47527775568. Its totient is φ = 12845952000.

The previous prime is 25302004969. The next prime is 25302005011. The reversal of 25302005001 is 10050020352.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7413210000 + 17888795001 = 86100^2 + 133749^2 .

It is not a de Polignac number, because 25302005001 - 2⁵ = 25302004969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25302005011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21423631 + ... + 21424811.

It is an arithmetic number, because the mean of its divisors is an integer number (330053997).

Almost surely, 2^25302005001 is an apocalyptic number.

25302005001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

25302005001 is a deficient number, since it is larger than the sum of its proper divisors (22225770567).

25302005001 is a wasteful number, since it uses less digits than its factorization.

25302005001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 25302005001 its reverse (10050020352), we get a palindrome (35352025353).

The spelling of 25302005001 in words is "twenty-five billion, three hundred two million, five thousand, one".