1005265517 has 2 divisors, whose sum is σ = 1005265518. Its totient is φ = 1005265516.

The previous prime is 1005265507. The next prime is 1005265519. The reversal of 1005265517 is 7155625001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 582305161 + 422960356 = 24131^2 + 20566^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005265517 - 2⁶ = 1005265453 is a prime.

Together with 1005265519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005265519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502632758 + 502632759.

It is an arithmetic number, because the mean of its divisors is an integer number (502632759).

Almost surely, 2^1005265517 is an apocalyptic number.

It is an amenable number.

1005265517 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005265517 is an equidigital number, since it uses as much as digits as its factorization.

1005265517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10500, while the sum is 32.

The square root of 1005265517 is about 31705.9224278367. The cubic root of 1005265517 is about 1001.7521006836.

The spelling of 1005265517 in words is "one billion, five million, two hundred sixty-five thousand, five hundred seventeen".