513238248 has 128 divisors (see below), whose sum is σ = 1477440000. Its totient is φ = 164954880.

The previous prime is 513238237. The next prime is 513238249. The reversal of 513238248 is 842832315.

513238248 is a `hidden beast` number, since 513 + 23 + 82 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (513238249) 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, 1190593 + ... + 1191023.

It is an arithmetic number, because the mean of its divisors is an integer number (11542500).

Almost surely, 2^513238248 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 513238248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738720000).

513238248 is an abundant number, since it is smaller than the sum of its proper divisors (964201752).

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

513238248 is a wasteful number, since it uses less digits than its factorization.

513238248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 513238248 is about 22654.7621483873. The cubic root of 513238248 is about 800.6444016271.

The spelling of 513238248 in words is "five hundred thirteen million, two hundred thirty-eight thousand, two hundred forty-eight".