513506620 has 48 divisors (see below), whose sum is σ = 1180384128. Its totient is φ = 186096960.

The previous prime is 513506611. The next prime is 513506627. The reversal of 513506620 is 26605315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513506627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63739 + ... + 71341.

It is an arithmetic number, because the mean of its divisors is an integer number (24591336).

Almost surely, 2^513506620 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 513506620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590192064).

513506620 is an abundant number, since it is smaller than the sum of its proper divisors (666877508).

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

513506620 is a wasteful number, since it uses less digits than its factorization.

513506620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 513506620 is about 22660.6844556823. The cubic root of 513506620 is about 800.7839294840.

It can be divided in two parts, 51350 and 6620, that added together give a triangular number (57970 = T₃₄₀).

The spelling of 513506620 in words is "five hundred thirteen million, five hundred six thousand, six hundred twenty".