5165507101 has 2 divisors, whose sum is σ = 5165507102. Its totient is φ = 5165507100.

The previous prime is 5165507099. The next prime is 5165507111. The reversal of 5165507101 is 1017055615.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3959681476 + 1205825625 = 62926^2 + 34725^2 .

It is a cyclic number.

It is not a de Polignac number, because 5165507101 - 2¹ = 5165507099 is a prime.

It is a super-2 number, since 2×5165507101² = 53364927220962848402, which contains 22 as substring.

Together with 5165507099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5165507111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2582753550 + 2582753551.

It is an arithmetic number, because the mean of its divisors is an integer number (2582753551).

Almost surely, 2^5165507101 is an apocalyptic number.

It is an amenable number.

5165507101 is a deficient number, since it is larger than the sum of its proper divisors (1).

5165507101 is an equidigital number, since it uses as much as digits as its factorization.

5165507101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 31.

The square root of 5165507101 is about 71871.4623546787. The cubic root of 5165507101 is about 1728.6390558504.

The spelling of 5165507101 in words is "five billion, one hundred sixty-five million, five hundred seven thousand, one hundred one".