516006101 has 8 divisors (see below), whose sum is σ = 556428600. Its totient is φ = 475687872.

The previous prime is 516006089. The next prime is 516006131. The reversal of 516006101 is 101600615.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49014001 + 466992100 = 7001^2 + 21610^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 516006101 - 2²⁶ = 448897237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516006131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15626 + ... + 35723.

It is an arithmetic number, because the mean of its divisors is an integer number (69553575).

Almost surely, 2^516006101 is an apocalyptic number.

It is an amenable number.

516006101 is a deficient number, since it is larger than the sum of its proper divisors (40422499).

516006101 is a wasteful number, since it uses less digits than its factorization.

516006101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52135.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 516006101 is about 22715.7676735786. The cubic root of 516006101 is about 802.0810925604.

Adding to 516006101 its reverse (101600615), we get a palindrome (617606716).

The spelling of 516006101 in words is "five hundred sixteen million, six thousand, one hundred one".