5347605375121 has 27 divisors (see below), whose sum is σ = 5791302535291. Its totient is φ = 4937293514384.

The previous prime is 5347605375053. The next prime is 5347605375187. The reversal of 5347605375121 is 1215735067435.

The square root of 5347605375121 is 2312489.

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

It can be written as a sum of positive squares in only one way, i.e., 2804154542721 + 2543450832400 = 1674561^2 + 1594820^2 .

It is not a de Polignac number, because 5347605375121 - 2⁹ = 5347605374609 is a prime.

It is a super-2 number, since 2×5347605375121² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5347605375421) 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, 1542428430 + ... + 1542431896.

Almost surely, 2^{5347605375121} is an apocalyptic number.

5347605375121 is the 2312489-th square number.

5347605375121 is the 1156245-th centered octagonal number.

It is an amenable number.

5347605375121 is a deficient number, since it is larger than the sum of its proper divisors (443697160170).

5347605375121 is an frugal number, since it uses more digits than its factorization.

5347605375121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7038 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 49.

Multiplying 5347605375121 by its sum of digits (49), we get a square (262032663380929 = 16187423²).

The spelling of 5347605375121 in words is "five trillion, three hundred forty-seven billion, six hundred five million, three hundred seventy-five thousand, one hundred twenty-one".