513889920 has 320 divisors, whose sum is σ = 1919427840. Its totient is φ = 130775040.

The previous prime is 513889907. The next prime is 513889931. The reversal of 513889920 is 29988315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1192105 + ... + 1192535.

It is an arithmetic number, because the mean of its divisors is an integer number (5998212).

Almost surely, 2^513889920 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 513889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959713920).

513889920 is an abundant number, since it is smaller than the sum of its proper divisors (1405537920).

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

513889920 is a wasteful number, since it uses less digits than its factorization.

513889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 513889920 is about 22669.1402571866. The cubic root of 513889920 is about 800.9831246708.

The spelling of 513889920 in words is "five hundred thirteen million, eight hundred eighty-nine thousand, nine hundred twenty".