513004632 has 128 divisors (see below), whose sum is σ = 1506332160. Its totient is φ = 142571520.

The previous prime is 513004621. The next prime is 513004643. The reversal of 513004632 is 236400315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (513004621) and next prime (513004643).

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

It is a congruent number.

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, 1157803 + ... + 1158245.

It is an arithmetic number, because the mean of its divisors is an integer number (11768220).

Almost surely, 2^513004632 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 513004632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753166080).

513004632 is an abundant number, since it is smaller than the sum of its proper divisors (993327528).

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

513004632 is a wasteful number, since it uses less digits than its factorization.

513004632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 513004632 is about 22649.6055594794. The cubic root of 513004632 is about 800.5229039732.

Adding to 513004632 its reverse (236400315), we get a palindrome (749404947).

The spelling of 513004632 in words is "five hundred thirteen million, four thousand, six hundred thirty-two".