5285175700401 has 45 divisors (see below), whose sum is σ = 7950633502779. Its totient is φ = 3498856289136.

The previous prime is 5285175700393. The next prime is 5285175700447. The reversal of 5285175700401 is 1040075715825.

The square root of 5285175700401 is 2298951.

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

5285175700401 is a `hidden beast` number, since 5 + 2 + 8 + 5 + 175 + 70 + 0 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1549166069025 + 3736009631376 = 1244655^2 + 1932876^2 .

It is not a de Polignac number, because 5285175700401 - 2³ = 5285175700393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5285175700501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3248416950 + ... + 3248418576.

Almost surely, 2^{5285175700401} is an apocalyptic number.

5285175700401 is the 2298951-st square number.

5285175700401 is the 1149476-th centered octagonal number.

It is an amenable number.

5285175700401 is a deficient number, since it is larger than the sum of its proper divisors (2665457802378).

5285175700401 is an frugal number, since it uses more digits than its factorization.

5285175700401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 5285175700401 in words is "five trillion, two hundred eighty-five billion, one hundred seventy-five million, seven hundred thousand, four hundred one".