513670620 has 192 divisors, whose sum is σ = 1567641600. Its totient is φ = 125368320.

The previous prime is 513670607. The next prime is 513670631. The reversal of 513670620 is 26076315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4800607 + ... + 4800713.

It is an arithmetic number, because the mean of its divisors is an integer number (8164800).

Almost surely, 2^513670620 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 513670620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

513670620 is an abundant number, since it is smaller than the sum of its proper divisors (1053970980).

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

513670620 is a wasteful number, since it uses less digits than its factorization.

513670620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 513670620 is about 22664.3027688919. The cubic root of 513670620 is about 800.8691699209.

The spelling of 513670620 in words is "five hundred thirteen million, six hundred seventy thousand, six hundred twenty".