513665040 has 240 divisors, whose sum is σ = 1913448960. Its totient is φ = 113541120.

The previous prime is 513665027. The next prime is 513665041. The reversal of 513665040 is 40566315.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 513664989 and 513665007.

It is not an unprimeable number, because it can be changed into a prime (513665041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363856 + ... + 365264.

It is an arithmetic number, because the mean of its divisors is an integer number (7972704).

Almost surely, 2^513665040 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 513665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956724480).

513665040 is an abundant number, since it is smaller than the sum of its proper divisors (1399783920).

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

513665040 is a wasteful number, since it uses less digits than its factorization.

513665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 513665040 is about 22664.1796674841. The cubic root of 513665040 is about 800.8662699652.

The spelling of 513665040 in words is "five hundred thirteen million, six hundred sixty-five thousand, forty".