5167506857 has 2 divisors, whose sum is σ = 5167506858. Its totient is φ = 5167506856.

The previous prime is 5167506797. The next prime is 5167506859. The reversal of 5167506857 is 7586057615.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3867471721 + 1300035136 = 62189^2 + 36056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5167506857 is a prime.

Together with 5167506859, 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 (5167506859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2583753428 + 2583753429.

It is an arithmetic number, because the mean of its divisors is an integer number (2583753429).

Almost surely, 2^5167506857 is an apocalyptic number.

It is an amenable number.

5167506857 is a deficient number, since it is larger than the sum of its proper divisors (1).

5167506857 is an equidigital number, since it uses as much as digits as its factorization.

5167506857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764000, while the sum is 50.

The square root of 5167506857 is about 71885.3730393047. The cubic root of 5167506857 is about 1728.8621001234.

The spelling of 5167506857 in words is "five billion, one hundred sixty-seven million, five hundred six thousand, eight hundred fifty-seven".