513135432 has 128 divisors (see below), whose sum is σ = 1517040000. Its totient is φ = 160247808.

The previous prime is 513135421. The next prime is 513135433. The reversal of 513135432 is 234531315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 513135396 and 513135405.

It is not an unprimeable number, because it can be changed into a prime (513135433) 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, 397444 + ... + 398732.

It is an arithmetic number, because the mean of its divisors is an integer number (11851875).

Almost surely, 2^513135432 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 513135432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758520000).

513135432 is an abundant number, since it is smaller than the sum of its proper divisors (1003904568).

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

513135432 is a wasteful number, since it uses less digits than its factorization.

513135432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1410 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 513135432 is about 22652.4928429522. The cubic root of 513135432 is about 800.5909342218.

Adding to 513135432 its reverse (234531315), we get a palindrome (747666747).

The spelling of 513135432 in words is "five hundred thirteen million, one hundred thirty-five thousand, four hundred thirty-two".