516800153 has 8 divisors (see below), whose sum is σ = 550038888. Its totient is φ = 483876864.

The previous prime is 516800149. The next prime is 516800161. The reversal of 516800153 is 351008615.

It can be written as a sum of positive squares in 4 ways, for example, as 152448409 + 364351744 = 12347^2 + 19088^2 .

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 516800153 - 2² = 516800149 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516800143) 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 7 ways as a sum of consecutive naturals, for example, 75476 + ... + 82037.

It is an arithmetic number, because the mean of its divisors is an integer number (68754861).

Almost surely, 2^516800153 is an apocalyptic number.

It is an amenable number.

516800153 is a deficient number, since it is larger than the sum of its proper divisors (33238735).

516800153 is a wasteful number, since it uses less digits than its factorization.

516800153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157723.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 516800153 is about 22733.2389465294. The cubic root of 516800153 is about 802.4923071308.

Adding to 516800153 its reverse (351008615), we get a palindrome (867808768).

The spelling of 516800153 in words is "five hundred sixteen million, eight hundred thousand, one hundred fifty-three".