513424422000 has 480 divisors, whose sum is σ = 2157267640320. Its totient is φ = 111177100800.

The previous prime is 513424421971. The next prime is 513424422083. The reversal of 513424422000 is 224424315.

513424422000 is a `hidden beast` number, since 5 + 13 + 4 + 2 + 442 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2286769 + ... + 2501231.

It is an arithmetic number, because the mean of its divisors is an integer number (4494307584).

Almost surely, 2^513424422000 is an apocalyptic number.

513424422000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513424422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078633820160).

513424422000 is an abundant number, since it is smaller than the sum of its proper divisors (1643843218320).

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

513424422000 is a wasteful number, since it uses less digits than its factorization.

513424422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214518 (or 214499 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 513424422000 its reverse (224424315), we get a palindrome (513648846315).

The spelling of 513424422000 in words is "five hundred thirteen billion, four hundred twenty-four million, four hundred twenty-two thousand".