526051328 has 96 divisors (see below), whose sum is σ = 1208844000. Its totient is φ = 226344960.

The previous prime is 526051327. The next prime is 526051343. The reversal of 526051328 is 823150625.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 526051294 and 526051303.

It is not an unprimeable number, because it can be changed into a prime (526051327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427418 + ... + 428646.

It is an arithmetic number, because the mean of its divisors is an integer number (12592125).

Almost surely, 2^526051328 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 526051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604422000).

526051328 is an abundant number, since it is smaller than the sum of its proper divisors (682792672).

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

526051328 is a wasteful number, since it uses less digits than its factorization.

526051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 526051328 is about 22935.8088586385. The cubic root of 526051328 is about 807.2524537141.

The spelling of 526051328 in words is "five hundred twenty-six million, fifty-one thousand, three hundred twenty-eight".