526165632 has 160 divisors (see below), whose sum is σ = 1648891200. Its totient is φ = 166095360.

The previous prime is 526165603. The next prime is 526165639. The reversal of 526165632 is 236561625.

It is a happy number.

526165632 is a `hidden beast` number, since 5 + 2 + 6 + 16 + 5 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (526165639) 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, 195657 + ... + 198327.

It is an arithmetic number, because the mean of its divisors is an integer number (10305570).

Almost surely, 2^526165632 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 526165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824445600).

526165632 is an abundant number, since it is smaller than the sum of its proper divisors (1122725568).

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

526165632 is a wasteful number, since it uses less digits than its factorization.

526165632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2695 counting only the distinct ones).

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

The square root of 526165632 is about 22938.3005473379. The cubic root of 526165632 is about 807.3109179090.

The spelling of 526165632 in words is "five hundred twenty-six million, one hundred sixty-five thousand, six hundred thirty-two".