513742820 has 24 divisors (see below), whose sum is σ = 1079313984. Its totient is φ = 205410656.

The previous prime is 513742807. The next prime is 513742837. The reversal of 513742820 is 28247315.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66899 + ... + 74181.

It is an arithmetic number, because the mean of its divisors is an integer number (44971416).

Almost surely, 2^513742820 is an apocalyptic number.

It is an amenable number.

513742820 is an abundant number, since it is smaller than the sum of its proper divisors (565571164).

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

513742820 is a wasteful number, since it uses less digits than its factorization.

513742820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10819 (or 10817 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 513742820 is about 22665.8955260982. The cubic root of 513742820 is about 800.9066907516.

The spelling of 513742820 in words is "five hundred thirteen million, seven hundred forty-two thousand, eight hundred twenty".