73537128635313 has 32 divisors (see below), whose sum is σ = 112081518996480. Its totient is φ = 42011864326080.

The previous prime is 73537128635263. The next prime is 73537128635351. The reversal of 73537128635313 is 31353682173537.

It is not a de Polignac number, because 73537128635313 - 2²⁶ = 73537061526449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73537128630313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2750992158 + ... + 2751018888.

It is an arithmetic number, because the mean of its divisors is an integer number (3502547468640).

Almost surely, 2^{73537128635313} is an apocalyptic number.

It is an amenable number.

73537128635313 is a deficient number, since it is larger than the sum of its proper divisors (38544390361167).

73537128635313 is a wasteful number, since it uses less digits than its factorization.

73537128635313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50997.

The product of its digits is 28576800, while the sum is 57.

The spelling of 73537128635313 in words is "seventy-three trillion, five hundred thirty-seven billion, one hundred twenty-eight million, six hundred thirty-five thousand, three hundred thirteen".