526188672 has 96 divisors (see below), whose sum is σ = 1535149980. Its totient is φ = 172965888.

The previous prime is 526188661. The next prime is 526188749. The reversal of 526188672 is 276881625.

It can be written as a sum of positive squares in 2 ways, for example, as 455224896 + 70963776 = 21336^2 + 8424^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×526188672² = 553749037082247168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80968 + ... + 87224.

Almost surely, 2^526188672 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 526188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767574990).

526188672 is an abundant number, since it is smaller than the sum of its proper divisors (1008961308).

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

526188672 is a wasteful number, since it uses less digits than its factorization.

526188672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 6335 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 526188672 is about 22938.8027586446. The cubic root of 526188672 is about 807.3227013798.

The spelling of 526188672 in words is "five hundred twenty-six million, one hundred eighty-eight thousand, six hundred seventy-two".