513342233503200 has 216 divisors, whose sum is σ = 1868565730764096. Its totient is φ = 132475415040000.

The previous prime is 513342233503163. The next prime is 513342233503207. The reversal of 513342233503200 is 2305332243315.

513342233503200 is a `hidden beast` number, since 5 + 1 + 3 + 342 + 233 + 50 + 32 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513342233503207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1149737001 + ... + 1150183400.

It is an arithmetic number, because the mean of its divisors is an integer number (8650767272056).

Almost surely, 2^{513342233503200} is an apocalyptic number.

513342233503200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513342233503200 is an abundant number, since it is smaller than the sum of its proper divisors (1355223497260896).

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

513342233503200 is a wasteful number, since it uses less digits than its factorization.

513342233503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299920458 (or 2299920442 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 513342233503200 its reverse (2305332243315), we get a palindrome (515647565746515).

The spelling of 513342233503200 in words is "five hundred thirteen trillion, three hundred forty-two billion, two hundred thirty-three million, five hundred three thousand, two hundred".