516156093 has 36 divisors (see below), whose sum is σ = 773661460. Its totient is φ = 331568640.

The previous prime is 516156083. The next prime is 516156097. The reversal of 516156093 is 390651615.

516156093 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 560 + 93 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 273637764 + 242518329 = 16542^2 + 15573^2 .

It is a de Polignac number, because none of the positive numbers 2^k-516156093 is a prime.

It is a super-3 number, since 3×516156093³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (516156097) 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 35 ways as a sum of consecutive naturals, for example, 1648905 + ... + 1649217.

Almost surely, 2^516156093 is an apocalyptic number.

It is an amenable number.

516156093 is a deficient number, since it is larger than the sum of its proper divisors (257505367).

516156093 is a wasteful number, since it uses less digits than its factorization.

516156093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 516156093 is about 22719.0689289856. The cubic root of 516156093 is about 802.1588010036.

The spelling of 516156093 in words is "five hundred sixteen million, one hundred fifty-six thousand, ninety-three".