513020440 has 64 divisors (see below), whose sum is σ = 1211112000. Its totient is φ = 195310080.

The previous prime is 513020393. The next prime is 513020467. The reversal of 513020440 is 44020315.

513020440 = T₃₂₄ + T₃₂₅ + ... + T₁₄₅₉.

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 15 ways as a sum of consecutive naturals, for example, 79246 + ... + 85474.

It is an arithmetic number, because the mean of its divisors is an integer number (18923625).

Almost surely, 2^513020440 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 513020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605556000).

513020440 is an abundant number, since it is smaller than the sum of its proper divisors (698091560).

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

513020440 is a wasteful number, since it uses less digits than its factorization.

513020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 513020440 is about 22649.9545253407. The cubic root of 513020440 is about 800.5311264695.

Adding to 513020440 its reverse (44020315), we get a palindrome (557040755).

The spelling of 513020440 in words is "five hundred thirteen million, twenty thousand, four hundred forty".