526125366 has 192 divisors, whose sum is σ = 1364912640. Its totient is φ = 145152000.

The previous prime is 526125349. The next prime is 526125373. The reversal of 526125366 is 663521625.

It is a happy number.

526125366 is a `hidden beast` number, since 5 + 2 + 612 + 5 + 36 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (64800) is a multiple of the sum of its prime divisors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 526125366.

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, 8624976 + ... + 8625036.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^526125366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526125366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

526125366 is an abundant number, since it is smaller than the sum of its proper divisors (838787274).

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

526125366 is a wasteful number, since it uses less digits than its factorization.

526125366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

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

The square root of 526125366 is about 22937.4228282081. The cubic root of 526125366 is about 807.2903236267.

The spelling of 526125366 in words is "five hundred twenty-six million, one hundred twenty-five thousand, three hundred sixty-six".