513236256 has 144 divisors (see below), whose sum is σ = 1542328704. Its totient is φ = 148525056.

The previous prime is 513236197. The next prime is 513236263. The reversal of 513236256 is 652632315.

It is a super-2 number, since 2×513236256² = 526822908945795072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359961 + ... + 361383.

It is an arithmetic number, because the mean of its divisors is an integer number (10710616).

Almost surely, 2^513236256 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 513236256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771164352).

513236256 is an abundant number, since it is smaller than the sum of its proper divisors (1029092448).

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

513236256 is a wasteful number, since it uses less digits than its factorization.

513236256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1458 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 513236256 is about 22654.7181840781. The cubic root of 513236256 is about 800.6433657952.

The spelling of 513236256 in words is "five hundred thirteen million, two hundred thirty-six thousand, two hundred fifty-six".