509128560 has 120 divisors (see below), whose sum is σ = 1799862480. Its totient is φ = 128618496.

The previous prime is 509128559. The next prime is 509128561. The reversal of 509128560 is 65821905.

It is a happy number.

509128560 is a `hidden beast` number, since 5 + 0 + 91 + 2 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (509128559) and next prime (509128561).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509128561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4929 + ... + 32288.

It is an arithmetic number, because the mean of its divisors is an integer number (14998854).

Almost surely, 2^509128560 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 509128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899931240).

509128560 is an abundant number, since it is smaller than the sum of its proper divisors (1290733920).

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

509128560 is a wasteful number, since it uses less digits than its factorization.

509128560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37255 (or 37246 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 509128560 is about 22563.8773263817. The cubic root of 509128560 is about 798.5016537836.

The spelling of 509128560 in words is "five hundred nine million, one hundred twenty-eight thousand, five hundred sixty".