523264500 has 324 divisors, whose sum is σ = 1874851524. Its totient is φ = 122760000.

The previous prime is 523264493. The next prime is 523264519. The reversal of 523264500 is 5462325.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 16744464 + 506520036 = 4092^2 + 22506^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16879485 + ... + 16879515.

Almost surely, 2^523264500 is an apocalyptic number.

523264500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937425762).

523264500 is an abundant number, since it is smaller than the sum of its proper divisors (1351587024).

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

523264500 is a wasteful number, since it uses less digits than its factorization.

523264500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 523264500 is about 22874.9754098228. The cubic root of 523264500 is about 805.8244193476.

The spelling of 523264500 in words is "five hundred twenty-three million, two hundred sixty-four thousand, five hundred".