5175265556241 has 75 divisors (see below), whose sum is σ = 8508067465755. Its totient is φ = 3135023131680.

The previous prime is 5175265556233. The next prime is 5175265556297. The reversal of 5175265556241 is 1426555625715.

The square root of 5175265556241 is 2274921.

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

5175265556241 is a `hidden beast` number, since 5 + 1 + 7 + 5 + 2 + 6 + 5 + 5 + 5 + 624 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4560484109841 + 614781446400 = 2135529^2 + 784080^2 .

It is not a de Polignac number, because 5175265556241 - 2³ = 5175265556233 is a prime.

It is a super-2 number, since 2×5175265556241² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5175265556941) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2477387925 + ... + 2477390013.

Almost surely, 2^{5175265556241} is an apocalyptic number.

5175265556241 is the 2274921-st square number.

5175265556241 is the 1137461-st centered octagonal number.

It is an amenable number.

5175265556241 is a deficient number, since it is larger than the sum of its proper divisors (3332801909514).

5175265556241 is an frugal number, since it uses more digits than its factorization.

5175265556241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234 (or 2103 counting only the distinct ones).

The product of its digits is 12600000, while the sum is 54.

The spelling of 5175265556241 in words is "five trillion, one hundred seventy-five billion, two hundred sixty-five million, five hundred fifty-six thousand, two hundred forty-one".