521516160 has 192 divisors, whose sum is σ = 1964813760. Its totient is φ = 126412800.

The previous prime is 521516143. The next prime is 521516167. The reversal of 521516160 is 61615125.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×521516160² = 543958210282291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (521516167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59245 + ... + 67475.

It is an arithmetic number, because the mean of its divisors is an integer number (10233405).

Almost surely, 2^521516160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982406880).

521516160 is an abundant number, since it is smaller than the sum of its proper divisors (1443297600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

521516160 is a wasteful number, since it uses less digits than its factorization.

521516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 521516160 is about 22836.7283120853. The cubic root of 521516160 is about 804.9259399737.

It can be divided in two parts, 52151 and 6160, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 521516160 in words is "five hundred twenty-one million, five hundred sixteen thousand, one hundred sixty".