513333402352240 has 160 divisors (see below), whose sum is σ = 1228906708186752. Its totient is φ = 199295760384000.

The previous prime is 513333402352231. The next prime is 513333402352297. The reversal of 513333402352240 is 42253204333315.

It is a super-2 number, since 2×513333402352240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 513333402352193 and 513333402352202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581138754 + ... + 582021406.

Almost surely, 2^{513333402352240} 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 513333402352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614453354093376).

513333402352240 is an abundant number, since it is smaller than the sum of its proper divisors (715573305834512).

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

513333402352240 is a wasteful number, since it uses less digits than its factorization.

513333402352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883619 (or 883613 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 40.

Adding to 513333402352240 its reverse (42253204333315), we get a palindrome (555586606685555).

The spelling of 513333402352240 in words is "five hundred thirteen trillion, three hundred thirty-three billion, four hundred two million, three hundred fifty-two thousand, two hundred forty".