513233234640 has 320 divisors, whose sum is σ = 2021070643200. Its totient is φ = 117268425216.

The previous prime is 513233234629. The next prime is 513233234651. The reversal of 513233234640 is 46432332315.

513233234640 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 3 + 3 + 2 + 3 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (513233234629) and next prime (513233234651).

It is a super-3 number, since 3×513233234640³ (a number of 36 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 513233234595 and 513233234604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65601769 + ... + 65609591.

It is an arithmetic number, because the mean of its divisors is an integer number (6315845760).

Almost surely, 2^513233234640 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 513233234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010535321600).

513233234640 is an abundant number, since it is smaller than the sum of its proper divisors (1507837408560).

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

513233234640 is a wasteful number, since it uses less digits than its factorization.

513233234640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12191 (or 12179 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 513233234640 its reverse (46432332315), we get a palindrome (559665566955).

The spelling of 513233234640 in words is "five hundred thirteen billion, two hundred thirty-three million, two hundred thirty-four thousand, six hundred forty".