7953183979321 has 27 divisors (see below), whose sum is σ = 9284872710501. Its totient is φ = 6792631917624.

The previous prime is 7953183979271. The next prime is 7953183979339. The reversal of 7953183979321 is 1239793813597.

The square root of 7953183979321 is 2820139.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 7953183979321 - 2¹³ = 7953183971129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7953183979361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7481828236 + ... + 7481829298.

It is an arithmetic number, because the mean of its divisors is an integer number (343884174463).

Almost surely, 2^{7953183979321} is an apocalyptic number.

7953183979321 is the 2820139-th square number.

7953183979321 is the 1410070-th centered octagonal number.

It is an amenable number.

7953183979321 is a deficient number, since it is larger than the sum of its proper divisors (1331688731180).

7953183979321 is an frugal number, since it uses more digits than its factorization.

7953183979321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 1449 counting only the distinct ones).

The product of its digits is 77157360, while the sum is 67.

The spelling of 7953183979321 in words is "seven trillion, nine hundred fifty-three billion, one hundred eighty-three million, nine hundred seventy-nine thousand, three hundred twenty-one".