1066528512 has 432 divisors, whose sum is σ = 3802821120. Its totient is φ = 293787648.

The previous prime is 1066528511. The next prime is 1066528517. The reversal of 1066528512 is 2158256601.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1066528512² = 2274966133817868288, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066528511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15918303 + ... + 15918369.

Almost surely, 2^1066528512 is an apocalyptic number.

1066528512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066528512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901410560).

1066528512 is an abundant number, since it is smaller than the sum of its proper divisors (2736292608).

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

1066528512 is an equidigital number, since it uses as much as digits as its factorization.

1066528512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1066528512 is about 32657.7481158760. The cubic root of 1066528512 is about 1021.7017957767.

The spelling of 1066528512 in words is "one billion, sixty-six million, five hundred twenty-eight thousand, five hundred twelve".