1021249152 has 384 divisors, whose sum is σ = 3799785600. Its totient is φ = 255467520.

The previous prime is 1021249147. The next prime is 1021249171. The reversal of 1021249152 is 2519421201.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2572218 + ... + 2572614.

It is an arithmetic number, because the mean of its divisors is an integer number (9895275).

Almost surely, 2^1021249152 is an apocalyptic number.

1021249152 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 1021249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899892800).

1021249152 is an abundant number, since it is smaller than the sum of its proper divisors (2778536448).

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

1021249152 is a wasteful number, since it uses less digits than its factorization.

1021249152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1021249152 is about 31956.9890947192. The cubic root of 1021249152 is about 1007.0334650550.

The spelling of 1021249152 in words is "one billion, twenty-one million, two hundred forty-nine thousand, one hundred fifty-two".