13035007 has 16 divisors (see below), whose sum is σ = 14565600. Its totient is φ = 11612160.

The previous prime is 13034993. The next prime is 13035013. The reversal of 13035007 is 70053031.

It is a cyclic number.

It is not a de Polignac number, because 13035007 - 2¹⁵ = 13002239 is a prime.

It is a super-2 number, since 2×13035007² = 339822814980098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13035037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22303 + ... + 22879.

It is an arithmetic number, because the mean of its divisors is an integer number (910350).

Almost surely, 2^13035007 is an apocalyptic number.

13035007 is a deficient number, since it is larger than the sum of its proper divisors (1530593).

13035007 is a wasteful number, since it uses less digits than its factorization.

13035007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 13035007 is about 3610.4026091282. The cubic root of 13035007 is about 235.3443390238.

Adding to 13035007 its reverse (70053031), we get a palindrome (83088038).

The spelling of 13035007 in words is "thirteen million, thirty-five thousand, seven".