13001512653 has 12 divisors (see below), whose sum is σ = 18797879100. Its totient is φ = 8659406016.

The previous prime is 13001512631. The next prime is 13001512681. The reversal of 13001512653 is 35621510031.

13001512653 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 1 + 5 + 1 + 2 + 653 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8708249124 + 4293263529 = 93318^2 + 65523^2 .

It is not a de Polignac number, because 13001512653 - 2¹⁴ = 13001496269 is a prime.

It is a super-3 number, since 3×13001512653³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001510653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679126 + ... + 698007.

It is an arithmetic number, because the mean of its divisors is an integer number (1566489925).

Almost surely, 2^13001512653 is an apocalyptic number.

It is an amenable number.

13001512653 is a deficient number, since it is larger than the sum of its proper divisors (5796366447).

13001512653 is a wasteful number, since it uses less digits than its factorization.

13001512653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378188 (or 1378185 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 13001512653 in words is "thirteen billion, one million, five hundred twelve thousand, six hundred fifty-three".