523142000 has 80 divisors (see below), whose sum is σ = 1279605600. Its totient is φ = 206835200.

The previous prime is 523141961. The next prime is 523142051. The reversal of 523142000 is 241325.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 523142000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176531 + ... + 179469.

It is an arithmetic number, because the mean of its divisors is an integer number (15995070).

Almost surely, 2^523142000 is an apocalyptic number.

523142000 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 523142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639802800).

523142000 is an abundant number, since it is smaller than the sum of its proper divisors (756463600).

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

523142000 is a wasteful number, since it uses less digits than its factorization.

523142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 523142000 is about 22872.2976545864. The cubic root of 523142000 is about 805.7615313337.

Adding to 523142000 its reverse (241325), we get a palindrome (523383325).

The spelling of 523142000 in words is "five hundred twenty-three million, one hundred forty-two thousand".