513685536 has 192 divisors, whose sum is σ = 1676279808. Its totient is φ = 134120448.

The previous prime is 513685517. The next prime is 513685537. The reversal of 513685536 is 635586315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (513685537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109241 + ... + 1109703.

It is an arithmetic number, because the mean of its divisors is an integer number (8730624).

Almost surely, 2^513685536 is an apocalyptic number.

513685536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513685536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838139904).

513685536 is an abundant number, since it is smaller than the sum of its proper divisors (1162594272).

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

513685536 is a wasteful number, since it uses less digits than its factorization.

513685536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 513685536 is about 22664.6318302328. The cubic root of 513685536 is about 800.8769217424.

The spelling of 513685536 in words is "five hundred thirteen million, six hundred eighty-five thousand, five hundred thirty-six".