513151032 has 64 divisors (see below), whose sum is σ = 1308621600. Its totient is φ = 167639040.

The previous prime is 513150997. The next prime is 513151033. The reversal of 513151032 is 230151315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513151033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598348 + ... + 599204.

Almost surely, 2^513151032 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 513151032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654310800).

513151032 is an abundant number, since it is smaller than the sum of its proper divisors (795470568).

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

513151032 is a wasteful number, since it uses less digits than its factorization.

513151032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 513151032 is about 22652.8371732991. The cubic root of 513151032 is about 800.5990471495.

The spelling of 513151032 in words is "five hundred thirteen million, one hundred fifty-one thousand, thirty-two".