513132304332 has 96 divisors (see below), whose sum is σ = 1288220213952. Its totient is φ = 158401069056.

The previous prime is 513132304313. The next prime is 513132304351. The reversal of 513132304332 is 233403231315.

It is an interprime number because it is at equal distance from previous prime (513132304313) and next prime (513132304351).

It is a self number, because there is not a number n which added to its sum of digits gives 513132304332.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3348378 + ... + 3498270.

It is an arithmetic number, because the mean of its divisors is an integer number (13418960562).

Almost surely, 2^513132304332 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 513132304332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644110106976).

513132304332 is an abundant number, since it is smaller than the sum of its proper divisors (775087909620).

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

513132304332 is a wasteful number, since it uses less digits than its factorization.

513132304332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150187 (or 150185 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 513132304332 its reverse (233403231315), we get a palindrome (746535535647).

The spelling of 513132304332 in words is "five hundred thirteen billion, one hundred thirty-two million, three hundred four thousand, three hundred thirty-two".