513061040 has 80 divisors (see below), whose sum is σ = 1239965280. Its totient is φ = 197191680.

The previous prime is 513061039. The next prime is 513061049. The reversal of 513061040 is 40160315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (513061049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651527 + ... + 652313.

It is an arithmetic number, because the mean of its divisors is an integer number (15499566).

Almost surely, 2^513061040 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 513061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619982640).

513061040 is an abundant number, since it is smaller than the sum of its proper divisors (726904240).

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

513061040 is a wasteful number, since it uses less digits than its factorization.

513061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 513061040 is about 22650.8507566493. The cubic root of 513061040 is about 800.5522436959.

The spelling of 513061040 in words is "five hundred thirteen million, sixty-one thousand, forty".