513964416 has 128 divisors (see below), whose sum is σ = 1567503360. Its totient is φ = 146165760.

The previous prime is 513964403. The next prime is 513964427. The reversal of 513964416 is 614469315.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 986236 + ... + 986756.

It is an arithmetic number, because the mean of its divisors is an integer number (12246120).

Almost surely, 2^513964416 is an apocalyptic number.

513964416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783751680).

513964416 is an abundant number, since it is smaller than the sum of its proper divisors (1053538944).

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

513964416 is a wasteful number, since it uses less digits than its factorization.

513964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 513964416 is about 22670.7833124486. The cubic root of 513964416 is about 801.0218276131.

The spelling of 513964416 in words is "five hundred thirteen million, nine hundred sixty-four thousand, four hundred sixteen".