513250752 has 224 divisors, whose sum is σ = 1622218752. Its totient is φ = 140184576.

The previous prime is 513250739. The next prime is 513250789. The reversal of 513250752 is 257052315.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 4796683 + ... + 4796789.

It is an arithmetic number, because the mean of its divisors is an integer number (7242048).

Almost surely, 2^513250752 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 513250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811109376).

513250752 is an abundant number, since it is smaller than the sum of its proper divisors (1108968000).

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

513250752 is a wasteful number, since it uses less digits than its factorization.

513250752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 513250752 is about 22655.0381151743. The cubic root of 513250752 is about 800.6509035953.

The spelling of 513250752 in words is "five hundred thirteen million, two hundred fifty thousand, seven hundred fifty-two".