516164311167 has 32 divisors (see below), whose sum is σ = 726123018240. Its totient is φ = 325242540000.

The previous prime is 516164311153. The next prime is 516164311183. The reversal of 516164311167 is 761113461615.

It is not a de Polignac number, because 516164311167 - 2¹⁴ = 516164294783 is a prime.

It is a super-2 number, since 2×516164311167² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516164311567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50843542 + ... + 50853692.

It is an arithmetic number, because the mean of its divisors is an integer number (22691344320).

Almost surely, 2^516164311167 is an apocalyptic number.

516164311167 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

516164311167 is a deficient number, since it is larger than the sum of its proper divisors (209958707073).

516164311167 is a wasteful number, since it uses less digits than its factorization.

516164311167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12155.

The product of its digits is 90720, while the sum is 42.

The spelling of 516164311167 in words is "five hundred sixteen billion, one hundred sixty-four million, three hundred eleven thousand, one hundred sixty-seven".