513030440 has 32 divisors (see below), whose sum is σ = 1243113480. Its totient is φ = 189426432.

The previous prime is 513030431. The next prime is 513030449. The reversal of 513030440 is 44030315.

It is an interprime number because it is at equal distance from previous prime (513030431) and next prime (513030449).

It can be written as a sum of positive squares in 4 ways, for example, as 282172804 + 230857636 = 16798^2 + 15194^2 .

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 (513030449) 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 7 ways as a sum of consecutive naturals, for example, 492779 + ... + 493818.

Almost surely, 2^513030440 is an apocalyptic number.

It is an amenable number.

513030440 is an abundant number, since it is smaller than the sum of its proper divisors (730083040).

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

513030440 is a wasteful number, since it uses less digits than its factorization.

513030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986621 (or 986617 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 513030440 is about 22650.1752752600. The cubic root of 513030440 is about 800.5363278602.

Adding to 513030440 its reverse (44030315), we get a palindrome (557060755).

The spelling of 513030440 in words is "five hundred thirteen million, thirty thousand, four hundred forty".