1005153152 has 64 divisors (see below), whose sum is σ = 2126528640. Its totient is φ = 471613440.

The previous prime is 1005153151. The next prime is 1005153161. The reversal of 1005153152 is 2513515001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005153151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1320452 + ... + 1321212.

It is an arithmetic number, because the mean of its divisors is an integer number (33227010).

Almost surely, 2^1005153152 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 1005153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063264320).

1005153152 is an abundant number, since it is smaller than the sum of its proper divisors (1121375488).

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

1005153152 is an equidigital number, since it uses as much as digits as its factorization.

1005153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 1005153152 is about 31704.1503907611. The cubic root of 1005153152 is about 1001.7147751986.

Adding to 1005153152 its reverse (2513515001), we get a palindrome (3518668153).

The spelling of 1005153152 in words is "one billion, five million, one hundred fifty-three thousand, one hundred fifty-two".