513553040 has 320 divisors, whose sum is σ = 1646894592. Its totient is φ = 144967680.

The previous prime is 513553013. The next prime is 513553043. The reversal of 513553040 is 40355315.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (513553043) 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 63 ways as a sum of consecutive naturals, for example, 9689654 + ... + 9689706.

Almost surely, 2^513553040 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 513553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823447296).

513553040 is an abundant number, since it is smaller than the sum of its proper divisors (1133341552).

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

513553040 is a wasteful number, since it uses less digits than its factorization.

513553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 513553040 is about 22661.7086734430. The cubic root of 513553040 is about 800.8080585270.

The spelling of 513553040 in words is "five hundred thirteen million, five hundred fifty-three thousand, forty".