2505204301331 has 2 divisors, whose sum is σ = 2505204301332. Its totient is φ = 2505204301330.

The previous prime is 2505204301273. The next prime is 2505204301333. The reversal of 2505204301331 is 1331034025052.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2505204301331 - 2⁶ = 2505204301267 is a prime.

It is a super-2 number, since 2×2505204301331² (a number of 26 digits) contains 22 as substring.

Together with 2505204301333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2505204301294 and 2505204301303.

It is not a weakly prime, because it can be changed into another prime (2505204301333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252602150665 + 1252602150666.

It is an arithmetic number, because the mean of its divisors is an integer number (1252602150666).

Almost surely, 2^{2505204301331} is an apocalyptic number.

2505204301331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505204301331 is an equidigital number, since it uses as much as digits as its factorization.

2505204301331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 2505204301331 its reverse (1331034025052), we get a palindrome (3836238326383).

The spelling of 2505204301331 in words is "two trillion, five hundred five billion, two hundred four million, three hundred one thousand, three hundred thirty-one".