523265000 has 80 divisors (see below), whose sum is σ = 1234058100. Its totient is φ = 207936000.

The previous prime is 523264967. The next prime is 523265023. The reversal of 523265000 is 562325.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 16924996 + 506340004 = 4114^2 + 22502^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1144772 + ... + 1145228.

Almost surely, 2^523265000 is an apocalyptic number.

523265000 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 523265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617029050).

523265000 is an abundant number, since it is smaller than the sum of its proper divisors (710793100).

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

523265000 is a wasteful number, since it uses less digits than its factorization.

523265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 523265000 is about 22874.9863387937. The cubic root of 523265000 is about 805.8246760133.

The spelling of 523265000 in words is "five hundred twenty-three million, two hundred sixty-five thousand".