513657248 has 72 divisors (see below), whose sum is σ = 1152900000. Its totient is φ = 224550144.

The previous prime is 513657247. The next prime is 513657253. The reversal of 513657248 is 842756315.

It is not an unprimeable number, because it can be changed into a prime (513657247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100253 + ... + 105251.

It is an arithmetic number, because the mean of its divisors is an integer number (16012500).

Almost surely, 2^513657248 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 513657248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576450000).

513657248 is an abundant number, since it is smaller than the sum of its proper divisors (639242752).

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

513657248 is a wasteful number, since it uses less digits than its factorization.

513657248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5033 counting only the distinct ones).

The product of its digits is 201600, while the sum is 41.

The square root of 513657248 is about 22664.0077656182. The cubic root of 513657248 is about 800.8622203862.

The spelling of 513657248 in words is "five hundred thirteen million, six hundred fifty-seven thousand, two hundred forty-eight".