513643464 has 128 divisors (see below), whose sum is σ = 1492992000. Its totient is φ = 163425600.

The previous prime is 513643463. The next prime is 513643469. The reversal of 513643464 is 464346315.

513643464 is a `hidden beast` number, since 5 + 1 + 3 + 643 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (513643463) 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, 528499 + ... + 529469.

It is an arithmetic number, because the mean of its divisors is an integer number (11664000).

Almost surely, 2^513643464 is an apocalyptic number.

513643464 is a gapful number since it is divisible by the number (54) 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 513643464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746496000).

513643464 is an abundant number, since it is smaller than the sum of its proper divisors (979348536).

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

513643464 is a wasteful number, since it uses less digits than its factorization.

513643464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1086 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 513643464 is about 22663.7036690829. The cubic root of 513643464 is about 800.8550566055.

Adding to 513643464 its reverse (464346315), we get a palindrome (977989779).

The spelling of 513643464 in words is "five hundred thirteen million, six hundred forty-three thousand, four hundred sixty-four".