1009150752 has 96 divisors (see below), whose sum is σ = 2692654272. Its totient is φ = 330891264.

The previous prime is 1009150741. The next prime is 1009150757. The reversal of 1009150752 is 2570519001.

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

It is not an unprimeable number, because it can be changed into a prime (1009150757) 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 15 ways as a sum of consecutive naturals, for example, 2858608 + ... + 2858960.

It is an arithmetic number, because the mean of its divisors is an integer number (28048482).

Almost surely, 2^1009150752 is an apocalyptic number.

1009150752 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 1009150752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346327136).

1009150752 is an abundant number, since it is smaller than the sum of its proper divisors (1683503520).

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

1009150752 is a wasteful number, since it uses less digits than its factorization.

1009150752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 1009150752 is about 31767.1332039893. The cubic root of 1009150752 is about 1003.0409936503.

Adding to 1009150752 its reverse (2570519001), we get a palindrome (3579669753).

The spelling of 1009150752 in words is "one billion, nine million, one hundred fifty thousand, seven hundred fifty-two".