25505013003001 has 12 divisors (see below), whose sum is σ = 30002457401460. Its totient is φ = 21615805559040.

The previous prime is 25505013002981. The next prime is 25505013003013. The reversal of 25505013003001 is 10030031050552.

It can be written as a sum of positive squares in 2 ways, for example, as 1622986821225 + 23882026181776 = 1273965^2 + 4886924^2 .

It is not a de Polignac number, because 25505013003001 - 2²³ = 25505004614393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25505013003091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2924211760 + ... + 2924220481.

It is an arithmetic number, because the mean of its divisors is an integer number (2500204783455).

Almost surely, 2^{25505013003001} is an apocalyptic number.

It is an amenable number.

25505013003001 is a deficient number, since it is larger than the sum of its proper divisors (4497444398459).

25505013003001 is an equidigital number, since it uses as much as digits as its factorization.

25505013003001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5848432344 (or 5848432337 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

Adding to 25505013003001 its reverse (10030031050552), we get a palindrome (35535044053553).

The spelling of 25505013003001 in words is "twenty-five trillion, five hundred five billion, thirteen million, three thousand, one".