513995760 has 320 divisors, whose sum is σ = 1859880960. Its totient is φ = 130360320.

The previous prime is 513995753. The next prime is 513995761. The reversal of 513995760 is 67599315.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513995761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6192679 + ... + 6192761.

It is an arithmetic number, because the mean of its divisors is an integer number (5812128).

Almost surely, 2^513995760 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 513995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929940480).

513995760 is an abundant number, since it is smaller than the sum of its proper divisors (1345885200).

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

513995760 is a wasteful number, since it uses less digits than its factorization.

513995760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 513995760 is about 22671.4745881251. The cubic root of 513995760 is about 801.0381106585.

The spelling of 513995760 in words is "five hundred thirteen million, nine hundred ninety-five thousand, seven hundred sixty".