2505267000617 has 2 divisors, whose sum is σ = 2505267000618. Its totient is φ = 2505267000616.

The previous prime is 2505267000583. The next prime is 2505267000619. The reversal of 2505267000617 is 7160007625052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2321171084521 + 184095916096 = 1523539^2 + 429064^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505267000617 - 2²⁴ = 2505250223401 is a prime.

Together with 2505267000619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2505267000619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252633500308 + 1252633500309.

It is an arithmetic number, because the mean of its divisors is an integer number (1252633500309).

Almost surely, 2^{2505267000617} is an apocalyptic number.

It is an amenable number.

2505267000617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505267000617 is an equidigital number, since it uses as much as digits as its factorization.

2505267000617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 176400, while the sum is 41.

The spelling of 2505267000617 in words is "two trillion, five hundred five billion, two hundred sixty-seven million, six hundred seventeen", and thus it is an aban number.