7137952817 has 2 divisors, whose sum is σ = 7137952818. Its totient is φ = 7137952816.

The previous prime is 7137952753. The next prime is 7137952819. The reversal of 7137952817 is 7182597317.

7137952817 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., 6315639841 + 822312976 = 79471^2 + 28676^2 .

It is a cyclic number.

It is not a de Polignac number, because 7137952817 - 2⁶ = 7137952753 is a prime.

Together with 7137952819, 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 (7137952819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3568976408 + 3568976409.

It is an arithmetic number, because the mean of its divisors is an integer number (3568976409).

Almost surely, 2^7137952817 is an apocalyptic number.

It is an amenable number.

7137952817 is a deficient number, since it is larger than the sum of its proper divisors (1).

7137952817 is an equidigital number, since it uses as much as digits as its factorization.

7137952817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 740880, while the sum is 50.

The square root of 7137952817 is about 84486.4061077284. The cubic root of 7137952817 is about 1925.4159166070.

The spelling of 7137952817 in words is "seven billion, one hundred thirty-seven million, nine hundred fifty-two thousand, eight hundred seventeen".