513140352 has 64 divisors (see below), whose sum is σ = 1368480960. Its totient is φ = 170362880.

The previous prime is 513140351. The next prime is 513140387. The reversal of 513140352 is 253041315.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (513140351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98452 + ... + 103532.

It is an arithmetic number, because the mean of its divisors is an integer number (21382515).

Almost surely, 2^513140352 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 513140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684240480).

513140352 is an abundant number, since it is smaller than the sum of its proper divisors (855340608).

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

513140352 is a wasteful number, since it uses less digits than its factorization.

513140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 513140352 is about 22652.6014400113. The cubic root of 513140352 is about 800.5934929321.

Adding to 513140352 its reverse (253041315), we get a palindrome (766181667).

The spelling of 513140352 in words is "five hundred thirteen million, one hundred forty thousand, three hundred fifty-two".