513580120 has 32 divisors (see below), whose sum is σ = 1164002400. Its totient is φ = 203930368.

The previous prime is 513580117. The next prime is 513580121. The reversal of 513580120 is 21085315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513580121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41380 + ... + 52339.

It is an arithmetic number, because the mean of its divisors is an integer number (36375075).

Almost surely, 2^513580120 is an apocalyptic number.

It is an amenable number.

513580120 is an abundant number, since it is smaller than the sum of its proper divisors (650422280).

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

513580120 is a wasteful number, since it uses less digits than its factorization.

513580120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93867 (or 93863 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 513580120 is about 22662.3061491985. The cubic root of 513580120 is about 800.8221339969.

The spelling of 513580120 in words is "five hundred thirteen million, five hundred eighty thousand, one hundred twenty".