1035536080 has 20 divisors (see below), whose sum is σ = 2407621572. Its totient is φ = 414214400.

The previous prime is 1035536069. The next prime is 1035536083. The reversal of 1035536080 is 806355301.

1035536080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 639685264 + 395850816 = 25292^2 + 19896^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1035536080³ (a number of 28 digits) contains 333 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035536083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6472021 + ... + 6472180.

Almost surely, 2^1035536080 is an apocalyptic number.

1035536080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035536080 is an abundant number, since it is smaller than the sum of its proper divisors (1372085492).

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

1035536080 is a wasteful number, since it uses less digits than its factorization.

1035536080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944214 (or 12944208 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1035536080 is about 32179.7464253527. The cubic root of 1035536080 is about 1011.7077535732.

The spelling of 1035536080 in words is "one billion, thirty-five million, five hundred thirty-six thousand, eighty".