7972175013335 has 48 divisors (see below), whose sum is σ = 10525415280768. Its totient is φ = 5793007334400.

The previous prime is 7972175013317. The next prime is 7972175013347. The reversal of 7972175013335 is 5333105712797.

It is a de Polignac number, because none of the positive numbers 2^k-7972175013335 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26436305 + ... + 26736165.

It is an arithmetic number, because the mean of its divisors is an integer number (219279485016).

Almost surely, 2^{7972175013335} is an apocalyptic number.

7972175013335 is a deficient number, since it is larger than the sum of its proper divisors (2553240267433).

7972175013335 is a wasteful number, since it uses less digits than its factorization.

7972175013335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300396 (or 300383 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 53.

The spelling of 7972175013335 in words is "seven trillion, nine hundred seventy-two billion, one hundred seventy-five million, thirteen thousand, three hundred thirty-five".