516506010101 has 8 divisors (see below), whose sum is σ = 534878482104. Its totient is φ = 498453059520.

The previous prime is 516506010079. The next prime is 516506010121. The reversal of 516506010101 is 101010605615.

It can be written as a sum of positive squares in 4 ways, for example, as 3721122001 + 512784888100 = 61001^2 + 716090^2 .

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 516506010101 - 2¹⁰ = 516506009077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516506010121) 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, 79877066 + ... + 79883531.

It is an arithmetic number, because the mean of its divisors is an integer number (66859810263).

Almost surely, 2^516506010101 is an apocalyptic number.

It is an amenable number.

516506010101 is a deficient number, since it is larger than the sum of its proper divisors (18372472003).

516506010101 is a wasteful number, since it uses less digits than its factorization.

516506010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159760711.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 516506010101 its reverse (101010605615), we get a palindrome (617516615716).

The spelling of 516506010101 in words is "five hundred sixteen billion, five hundred six million, ten thousand, one hundred one".