513132420 has 96 divisors (see below), whose sum is σ = 1525886208. Its totient is φ = 128397312.

The previous prime is 513132397. The next prime is 513132443. The reversal of 513132420 is 24231315.

It is an interprime number because it is at equal distance from previous prime (513132397) and next prime (513132443).

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, 496224 + ... + 497256.

It is an arithmetic number, because the mean of its divisors is an integer number (15894648).

Almost surely, 2^513132420 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 513132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762943104).

513132420 is an abundant number, since it is smaller than the sum of its proper divisors (1012753788).

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

513132420 is a wasteful number, since it uses less digits than its factorization.

513132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 513132420 is about 22652.4263601054. The cubic root of 513132420 is about 800.5893677837.

Adding to 513132420 its reverse (24231315), we get a palindrome (537363735).

The spelling of 513132420 in words is "five hundred thirteen million, one hundred thirty-two thousand, four hundred twenty".