12961652175 has 36 divisors (see below), whose sum is σ = 23653814184. Its totient is φ = 6782443200.

The previous prime is 12961652173. The next prime is 12961652183. The reversal of 12961652175 is 57125616921.

It is a happy number.

12961652175 is a `hidden beast` number, since 1 + 2 + 9 + 616 + 5 + 21 + 7 + 5 = 666.

12961652175 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12961652175 - 2¹ = 12961652173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12961652175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12961652173) 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 35 ways as a sum of consecutive naturals, for example, 531541 + ... + 555390.

It is an arithmetic number, because the mean of its divisors is an integer number (657050394).

Almost surely, 2^12961652175 is an apocalyptic number.

12961652175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12961652175 is a deficient number, since it is larger than the sum of its proper divisors (10692162009).

12961652175 is a wasteful number, since it uses less digits than its factorization.

12961652175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087000 (or 1086992 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

It can be divided in two parts, 1296 and 1652175, that added together give a triangular number (1653471 = T₁₈₁₈).

The spelling of 12961652175 in words is "twelve billion, nine hundred sixty-one million, six hundred fifty-two thousand, one hundred seventy-five".