513050032 has 40 divisors (see below), whose sum is σ = 1088211600. Its totient is φ = 232385280.

The previous prime is 513049949. The next prime is 513050033. The reversal of 513050032 is 230050315.

It is a junction number, because it is equal to n+sod(n) for n = 513049991 and 513050009.

It is not an unprimeable number, because it can be changed into a prime (513050033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46594 + ... + 56542.

It is an arithmetic number, because the mean of its divisors is an integer number (27205290).

Almost surely, 2^513050032 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 513050032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544105800).

513050032 is an abundant number, since it is smaller than the sum of its proper divisors (575161568).

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

513050032 is a wasteful number, since it uses less digits than its factorization.

513050032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 513050032 is about 22650.6077622655. The cubic root of 513050032 is about 800.5465182289.

The spelling of 513050032 in words is "five hundred thirteen million, fifty thousand, thirty-two".