513146880 has 288 divisors, whose sum is σ = 1887429600. Its totient is φ = 132120576.

The previous prime is 513146873. The next prime is 513146897. The reversal of 513146880 is 88641315.

513146880 is a `hidden beast` number, since 513 + 1 + 4 + 68 + 80 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694706 + ... + 17694734.

It is an arithmetic number, because the mean of its divisors is an integer number (6553575).

Almost surely, 2^513146880 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 513146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943714800).

513146880 is an abundant number, since it is smaller than the sum of its proper divisors (1374282720).

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

513146880 is an frugal number, since it uses more digits than its factorization.

513146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 513146880 is about 22652.7455289640. The cubic root of 513146880 is about 800.5968878787.

The spelling of 513146880 in words is "five hundred thirteen million, one hundred forty-six thousand, eight hundred eighty".