1035021312 has 264 divisors, whose sum is σ = 3299338224. Its totient is φ = 310542336.

The previous prime is 1035021311. The next prime is 1035021329. The reversal of 1035021312 is 2131205301.

1035021312 is a `hidden beast` number, since 1 + 0 + 350 + 2 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1035021311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6349743 + ... + 6349905.

Almost surely, 2^1035021312 is an apocalyptic number.

1035021312 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 1035021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649669112).

1035021312 is an abundant number, since it is smaller than the sum of its proper divisors (2264316912).

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

1035021312 is a wasteful number, since it uses less digits than its factorization.

1035021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1035021312 is about 32171.7471082936. The cubic root of 1035021312 is about 1011.5400848307.

Adding to 1035021312 its reverse (2131205301), we get a palindrome (3166226613).

The spelling of 1035021312 in words is "one billion, thirty-five million, twenty-one thousand, three hundred twelve".