513063392 has 96 divisors (see below), whose sum is σ = 1103155200. Its totient is φ = 234178560.

The previous prime is 513063391. The next prime is 513063407. The reversal of 513063392 is 293360315.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513063391) 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, 2578109 + ... + 2578307.

It is an arithmetic number, because the mean of its divisors is an integer number (11491200).

Almost surely, 2^513063392 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 513063392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

513063392 is an abundant number, since it is smaller than the sum of its proper divisors (590091808).

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

513063392 is a wasteful number, since it uses less digits than its factorization.

513063392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 32.

The square root of 513063392 is about 22650.9026751695. The cubic root of 513063392 is about 800.5534670045.

The spelling of 513063392 in words is "five hundred thirteen million, sixty-three thousand, three hundred ninety-two".