513055444 has 48 divisors (see below), whose sum is σ = 1040195520. Its totient is φ = 218831360.

The previous prime is 513055441. The next prime is 513055447. The reversal of 513055444 is 444550315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (513055441) and next prime (513055447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513055441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312594 + ... + 314230.

It is an arithmetic number, because the mean of its divisors is an integer number (21670740).

Almost surely, 2^513055444 is an apocalyptic number.

It is an amenable number.

513055444 is an abundant number, since it is smaller than the sum of its proper divisors (527140076).

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

513055444 is a wasteful number, since it uses less digits than its factorization.

513055444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 513055444 is about 22650.7272289434. The cubic root of 513055444 is about 800.5493331217.

The spelling of 513055444 in words is "five hundred thirteen million, fifty-five thousand, four hundred forty-four".