513360026240 has 128 divisors (see below), whose sum is σ = 1235575710720. Its totient is φ = 203955978240.

The previous prime is 513360026239. The next prime is 513360026279. The reversal of 513360026240 is 42620063315.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×513360026240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 513360026197 and 513360026206.

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 15 ways as a sum of consecutive naturals, for example, 58444889 + ... + 58453671.

It is an arithmetic number, because the mean of its divisors is an integer number (9652935240).

Almost surely, 2^513360026240 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 513360026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617787855360).

513360026240 is an abundant number, since it is smaller than the sum of its proper divisors (722215684480).

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

513360026240 is a wasteful number, since it uses less digits than its factorization.

513360026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 513360026240 its reverse (42620063315), we get a palindrome (555980089555).

The spelling of 513360026240 in words is "five hundred thirteen billion, three hundred sixty million, twenty-six thousand, two hundred forty".