1021333152 has 96 divisors (see below), whose sum is σ = 3069263232. Its totient is φ = 291308544.

The previous prime is 1021333151. The next prime is 1021333153. The reversal of 1021333152 is 2513331201.

It is an interprime number because it is at equal distance from previous prime (1021333151) and next prime (1021333153).

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1021333151) 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, 588478 + ... + 590210.

It is an arithmetic number, because the mean of its divisors is an integer number (31971492).

Almost surely, 2^1021333152 is an apocalyptic number.

1021333152 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 1021333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534631616).

1021333152 is an abundant number, since it is smaller than the sum of its proper divisors (2047930080).

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

1021333152 is a wasteful number, since it uses less digits than its factorization.

1021333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1021333152 is about 31958.3033341884. The cubic root of 1021333152 is about 1007.0610745408.

Adding to 1021333152 its reverse (2513331201), we get a palindrome (3534664353).

It can be divided in two parts, 10213 and 33152, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 1021333152 in words is "one billion, twenty-one million, three hundred thirty-three thousand, one hundred fifty-two".