513054720 has 288 divisors, whose sum is σ = 1878130800. Its totient is φ = 129171456.

The previous prime is 513054719. The next prime is 513054749. The reversal of 513054720 is 27450315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750894 + ... + 1751186.

Almost surely, 2^513054720 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 513054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939065400).

513054720 is an abundant number, since it is smaller than the sum of its proper divisors (1365076080).

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

513054720 is a wasteful number, since it uses less digits than its factorization.

513054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 513054720 is about 22650.7112471110. The cubic root of 513054720 is about 800.5489565555.

The spelling of 513054720 in words is "five hundred thirteen million, fifty-four thousand, seven hundred twenty".