513004536 has 128 divisors (see below), whose sum is σ = 1576972800. Its totient is φ = 153216000.

The previous prime is 513004493. The next prime is 513004537. The reversal of 513004536 is 635400315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513004537) 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, 167176 + ... + 170216.

It is an arithmetic number, because the mean of its divisors is an integer number (12320100).

Almost surely, 2^513004536 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 513004536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788486400).

513004536 is an abundant number, since it is smaller than the sum of its proper divisors (1063968264).

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

513004536 is a wasteful number, since it uses less digits than its factorization.

513004536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 513004536 is about 22649.6034402371. The cubic root of 513004536 is about 800.5228540385.

The spelling of 513004536 in words is "five hundred thirteen million, four thousand, five hundred thirty-six".