513488536 has 128 divisors (see below), whose sum is σ = 1163289600. Its totient is φ = 209848320.

The previous prime is 513488533. The next prime is 513488561. The reversal of 513488536 is 635884315.

It is a junction number, because it is equal to n+sod(n) for n = 513488492 and 513488501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513488533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4710850 + ... + 4710958.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2^513488536 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 513488536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

513488536 is an abundant number, since it is smaller than the sum of its proper divisors (649801064).

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

513488536 is a wasteful number, since it uses less digits than its factorization.

513488536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The square root of 513488536 is about 22660.2854350955. The cubic root of 513488536 is about 800.7745290556.

The spelling of 513488536 in words is "five hundred thirteen million, four hundred eighty-eight thousand, five hundred thirty-six".