1001521152 has 144 divisors (see below), whose sum is σ = 2977944480. Its totient is φ = 332660736.

The previous prime is 1001521139. The next prime is 1001521207. The reversal of 1001521152 is 2511251001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538803 + ... + 3539085.

It is an arithmetic number, because the mean of its divisors is an integer number (20680170).

Almost surely, 2^1001521152 is an apocalyptic number.

1001521152 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 1001521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488972240).

1001521152 is an abundant number, since it is smaller than the sum of its proper divisors (1976423328).

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

1001521152 is an frugal number, since it uses more digits than its factorization.

1001521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 1001521152 is about 31646.8189870641. The cubic root of 1001521152 is about 1000.5067937833.

Adding to 1001521152 its reverse (2511251001), we get a palindrome (3512772153).

The spelling of 1001521152 in words is "one billion, one million, five hundred twenty-one thousand, one hundred fifty-two".