513151035432 has 128 divisors (see below), whose sum is σ = 1531080437760. Its totient is φ = 140131031040.

The previous prime is 513151035431. The next prime is 513151035437. The reversal of 513151035432 is 234530151315.

It is a junction number, because it is equal to n+sod(n) for n = 513151035393 and 513151035402.

It is not an unprimeable number, because it can be changed into a prime (513151035431) 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, 4983832 + ... + 5085752.

It is an arithmetic number, because the mean of its divisors is an integer number (11961565920).

Almost surely, 2^513151035432 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 513151035432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765540218880).

513151035432 is an abundant number, since it is smaller than the sum of its proper divisors (1017929402328).

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

513151035432 is a wasteful number, since it uses less digits than its factorization.

513151035432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103263 (or 103259 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 513151035432 its reverse (234530151315), we get a palindrome (747681186747).

The spelling of 513151035432 in words is "five hundred thirteen billion, one hundred fifty-one million, thirty-five thousand, four hundred thirty-two".