513982560 has 432 divisors, whose sum is σ = 2078930448. Its totient is φ = 105799680.

The previous prime is 513982559. The next prime is 513982583. The reversal of 513982560 is 65289315.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12536140 + ... + 12536180.

It is an arithmetic number, because the mean of its divisors is an integer number (4812339).

Almost surely, 2^513982560 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 513982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039465224).

513982560 is an abundant number, since it is smaller than the sum of its proper divisors (1564947888).

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

513982560 is a wasteful number, since it uses less digits than its factorization.

513982560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 513982560 is about 22671.1834715350. The cubic root of 513982560 is about 801.0312534076.

The spelling of 513982560 in words is "five hundred thirteen million, nine hundred eighty-two thousand, five hundred sixty".