516210145 has 24 divisors (see below), whose sum is σ = 713232000. Its totient is φ = 355652640.

The previous prime is 516210133. The next prime is 516210187. The reversal of 516210145 is 541012615.

It is a happy number.

It is not a de Polignac number, because 516210145 - 2¹⁹ = 515685857 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6856 + ... + 32854.

It is an arithmetic number, because the mean of its divisors is an integer number (29718000).

Almost surely, 2^516210145 is an apocalyptic number.

516210145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

516210145 is a deficient number, since it is larger than the sum of its proper divisors (197021855).

516210145 is a wasteful number, since it uses less digits than its factorization.

516210145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26053 (or 26034 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 516210145 is about 22720.2584712410. The cubic root of 516210145 is about 802.1868007855.

The spelling of 516210145 in words is "five hundred sixteen million, two hundred ten thousand, one hundred forty-five".