1020253312 has 64 divisors (see below), whose sum is σ = 2195121600. Its totient is φ = 469545984.

The previous prime is 1020253309. The next prime is 1020253313. The reversal of 1020253312 is 2133520201.

1020253312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020253312.

It is not an unprimeable number, because it can be changed into a prime (1020253313) 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, 809739 + ... + 810997.

It is an arithmetic number, because the mean of its divisors is an integer number (34298775).

Almost surely, 2^1020253312 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 1020253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097560800).

1020253312 is an abundant number, since it is smaller than the sum of its proper divisors (1174868288).

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

1020253312 is a wasteful number, since it uses less digits than its factorization.

1020253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1020253312 is about 31941.4043523449. The cubic root of 1020253312 is about 1006.7060326014.

Adding to 1020253312 its reverse (2133520201), we get a palindrome (3153773513).

The spelling of 1020253312 in words is "one billion, twenty million, two hundred fifty-three thousand, three hundred twelve".