523513368 has 384 divisors, whose sum is σ = 1861816320. Its totient is φ = 134369280.

The previous prime is 523513357. The next prime is 523513429. The reversal of 523513368 is 863315325.

523513368 = 282³ + 283³ + ... + 302³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7171380 + ... + 7171452.

It is an arithmetic number, because the mean of its divisors is an integer number (4848480).

Almost surely, 2^523513368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523513368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930908160).

523513368 is an abundant number, since it is smaller than the sum of its proper divisors (1338302952).

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

523513368 is a wasteful number, since it uses less digits than its factorization.

523513368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 523513368 is about 22880.4145067348. The cubic root of 523513368 is about 805.9521508783.

The spelling of 523513368 in words is "five hundred twenty-three million, five hundred thirteen thousand, three hundred sixty-eight".