5165005606101 has 12 divisors (see below), whose sum is σ = 8138796712800. Its totient is φ = 3130306427880.

The previous prime is 5165005606051. The next prime is 5165005606109. The reversal of 5165005606101 is 1016065005615.

It is not a de Polignac number, because 5165005606101 - 2¹³ = 5165005597909 is a prime.

It is a super-2 number, since 2×5165005606101² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5165005606109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26085886801 + ... + 26085886998.

It is an arithmetic number, because the mean of its divisors is an integer number (678233059400).

Almost surely, 2^{5165005606101} is an apocalyptic number.

It is an amenable number.

5165005606101 is a deficient number, since it is larger than the sum of its proper divisors (2973791106699).

5165005606101 is a wasteful number, since it uses less digits than its factorization.

5165005606101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52171773816 (or 52171773813 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 5165005606101 in words is "five trillion, one hundred sixty-five billion, five million, six hundred six thousand, one hundred one".