1035413513 has 8 divisors (see below), whose sum is σ = 1064205960. Its totient is φ = 1006663680.

The previous prime is 1035413497. The next prime is 1035413537. The reversal of 1035413513 is 3153145301.

1035413513 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 2948089 + 1032465424 = 1717^2 + 32132^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1035413513 - 2⁴ = 1035413497 is a prime.

It is a super-3 number, since 3×1035413513³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1035412513) 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, 42203 + ... + 62063.

It is an arithmetic number, because the mean of its divisors is an integer number (133025745).

Almost surely, 2^1035413513 is an apocalyptic number.

It is an amenable number.

1035413513 is a deficient number, since it is larger than the sum of its proper divisors (28792447).

1035413513 is a wasteful number, since it uses less digits than its factorization.

1035413513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21307.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 1035413513 is about 32177.8419568497. The cubic root of 1035413513 is about 1011.6678364458.

Adding to 1035413513 its reverse (3153145301), we get a palindrome (4188558814).

The spelling of 1035413513 in words is "one billion, thirty-five million, four hundred thirteen thousand, five hundred thirteen".