523145100 has 72 divisors (see below), whose sum is σ = 1518684048. Its totient is φ = 139040000.

The previous prime is 523145093. The next prime is 523145101. The reversal of 523145100 is 1541325.

It is not an unprimeable number, because it can be changed into a prime (523145101) 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 23 ways as a sum of consecutive naturals, for example, 92350 + ... + 97850.

It is an arithmetic number, because the mean of its divisors is an integer number (21092834).

Almost surely, 2^523145100 is an apocalyptic number.

523145100 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 523145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759342024).

523145100 is an abundant number, since it is smaller than the sum of its proper divisors (995538948).

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

523145100 is a wasteful number, since it uses less digits than its factorization.

523145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 523145100 is about 22872.3654220546. The cubic root of 523145100 is about 805.7631229065.

Adding to 523145100 its reverse (1541325), we get a palindrome (524686425).

The spelling of 523145100 in words is "five hundred twenty-three million, one hundred forty-five thousand, one hundred".