513845660160 has 240 divisors, whose sum is σ = 2033820112896. Its totient is φ = 117450399744.

The previous prime is 513845660147. The next prime is 513845660161. The reversal of 513845660160 is 61066548315.

513845660160 is a `hidden beast` number, since 5 + 1 + 3 + 84 + 566 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×513845660160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (513845660161) by changing a digit.

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, 1431744 + ... + 1754303.

Almost surely, 2^513845660160 is an apocalyptic number.

It is an amenable number.

513845660160 is an abundant number, since it is smaller than the sum of its proper divisors (1519974452736).

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

513845660160 is a wasteful number, since it uses less digits than its factorization.

513845660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186083 (or 3186064 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 513845660160 in words is "five hundred thirteen billion, eight hundred forty-five million, six hundred sixty thousand, one hundred sixty".