513162603360 has 288 divisors, whose sum is σ = 1911072683520. Its totient is φ = 124356940800.

The previous prime is 513162603301. The next prime is 513162603409. The reversal of 513162603360 is 63306261315.

513162603360 is a `hidden beast` number, since 5 + 1 + 3 + 16 + 2 + 603 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64797481 + ... + 64805399.

It is an arithmetic number, because the mean of its divisors is an integer number (6635669040).

Almost surely, 2^513162603360 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 513162603360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955536341760).

513162603360 is an abundant number, since it is smaller than the sum of its proper divisors (1397910080160).

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

513162603360 is a wasteful number, since it uses less digits than its factorization.

513162603360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12042 (or 12031 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 513162603360 its reverse (63306261315), we get a palindrome (576468864675).

The spelling of 513162603360 in words is "five hundred thirteen billion, one hundred sixty-two million, six hundred three thousand, three hundred sixty".