7825137017 has 2 divisors, whose sum is σ = 7825137018. Its totient is φ = 7825137016.

The previous prime is 7825136953. The next prime is 7825137079. The reversal of 7825137017 is 7107315287.

7825137017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5735184361 + 2089952656 = 75731^2 + 45716^2 .

It is a cyclic number.

It is not a de Polignac number, because 7825137017 - 2⁶ = 7825136953 is a prime.

It is a super-2 number, since 2×7825137017² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7825137217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3912568508 + 3912568509.

It is an arithmetic number, because the mean of its divisors is an integer number (3912568509).

Almost surely, 2^7825137017 is an apocalyptic number.

It is an amenable number.

7825137017 is a deficient number, since it is larger than the sum of its proper divisors (1).

7825137017 is an equidigital number, since it uses as much as digits as its factorization.

7825137017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82320, while the sum is 41.

The square root of 7825137017 is about 88459.8045272541. The cubic root of 7825137017 is about 1985.3206060452.

The spelling of 7825137017 in words is "seven billion, eight hundred twenty-five million, one hundred thirty-seven thousand, seventeen".