1035413000 has 32 divisors (see below), whose sum is σ = 2422868760. Its totient is φ = 414164800.

The previous prime is 1035412993. The next prime is 1035413009. The reversal of 1035413000 is 3145301.

1035413000 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 4 ways, for example, as 350962756 + 684450244 = 18734^2 + 26162^2 .

It is a super-3 number, since 3×1035413000³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1035413000.

It is not an unprimeable number, because it can be changed into a prime (1035413009) 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, 516707 + ... + 518706.

Almost surely, 2^1035413000 is an apocalyptic number.

1035413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035413000 is an abundant number, since it is smaller than the sum of its proper divisors (1387455760).

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

1035413000 is a wasteful number, since it uses less digits than its factorization.

1035413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035434 (or 1035420 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1035413000 is about 32177.8339855249. The cubic root of 1035413000 is about 1011.6676693674.

Adding to 1035413000 its reverse (3145301), we get a palindrome (1038558301).

The spelling of 1035413000 in words is "one billion, thirty-five million, four hundred thirteen thousand".