526513000 has 128 divisors (see below), whose sum is σ = 1343291040. Its totient is φ = 192000000.

The previous prime is 526512989. The next prime is 526513003. The reversal of 526513000 is 315625.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 26811684 + 499701316 = 5178^2 + 22354^2 .

It is not an unprimeable number, because it can be changed into a prime (526513003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1312800 + ... + 1313200.

Almost surely, 2^526513000 is an apocalyptic number.

526513000 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 526513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671645520).

526513000 is an abundant number, since it is smaller than the sum of its proper divisors (816778040).

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

526513000 is a wasteful number, since it uses less digits than its factorization.

526513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 526513000 is about 22945.8710882808. The cubic root of 526513000 is about 807.4885376999.

Adding to 526513000 its reverse (315625), we get a palindrome (526828625).

The spelling of 526513000 in words is "five hundred twenty-six million, five hundred thirteen thousand".