523120000 has 160 divisors (see below), whose sum is σ = 1405237680. Its totient is φ = 192768000.

The previous prime is 523119991. The next prime is 523120001. The reversal of 523120000 is 21325.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039749 + ... + 1040251.

Almost surely, 2^523120000 is an apocalyptic number.

523120000 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 523120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702618840).

523120000 is an abundant number, since it is smaller than the sum of its proper divisors (882117680).

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

523120000 is an equidigital number, since it uses as much as digits as its factorization.

523120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 523120000 is about 22871.8167183982. The cubic root of 523120000 is about 805.7502361199.

Adding to 523120000 its reverse (21325), we get a palindrome (523141325).

The spelling of 523120000 in words is "five hundred twenty-three million, one hundred twenty thousand".