516100161 has 16 divisors (see below), whose sum is σ = 748306944. Its totient is φ = 315074304.

The previous prime is 516100159. The next prime is 516100177. The reversal of 516100161 is 161001615.

It is not a de Polignac number, because 516100161 - 2¹ = 516100159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516100181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134865 + ... + 138638.

It is an arithmetic number, because the mean of its divisors is an integer number (46769184).

Almost surely, 2^516100161 is an apocalyptic number.

516100161 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

516100161 is a deficient number, since it is larger than the sum of its proper divisors (232206783).

516100161 is a wasteful number, since it uses less digits than its factorization.

516100161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273560.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 516100161 is about 22717.8379473048. The cubic root of 516100161 is about 802.1298252942.

Adding to 516100161 its reverse (161001615), we get a palindrome (677101776).

The spelling of 516100161 in words is "five hundred sixteen million, one hundred thousand, one hundred sixty-one".