1009936512 has 320 divisors, whose sum is σ = 3317529600. Its totient is φ = 303077376.

The previous prime is 1009936511. The next prime is 1009936541. The reversal of 1009936512 is 2156399001.

1009936512 is a `hidden beast` number, since 100 + 9 + 9 + 36 + 512 = 666.

It is a super-2 number, since 2×1009936512² = 2039943516541452288, which contains 22 as substring.

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 (1009936511) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 7952193 + ... + 7952319.

It is an arithmetic number, because the mean of its divisors is an integer number (10367280).

Almost surely, 2^1009936512 is an apocalyptic number.

1009936512 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 1009936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658764800).

1009936512 is an abundant number, since it is smaller than the sum of its proper divisors (2307593088).

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

1009936512 is a wasteful number, since it uses less digits than its factorization.

1009936512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1009936512 is about 31779.4982968580. The cubic root of 1009936512 is about 1003.3012603540.

The spelling of 1009936512 in words is "one billion, nine million, nine hundred thirty-six thousand, five hundred twelve".