5286316041601 has 45 divisors (see below), whose sum is σ = 6579731111379. Its totient is φ = 4233910580928.

The previous prime is 5286316041599. The next prime is 5286316041667. The reversal of 5286316041601 is 1061406136825.

The square root of 5286316041601 is 2299199.

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., 4115643977025 + 1170672064576 = 2028705^2 + 1081976^2 .

It is not a de Polignac number, because 5286316041601 - 2¹ = 5286316041599 is a prime.

It is a super-3 number, since 3×5286316041601³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5286316047601) 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, 38031050590 + ... + 38031050728.

Almost surely, 2^{5286316041601} is an apocalyptic number.

5286316041601 is the 2299199-th square number.

5286316041601 is the 1149600-th centered octagonal number.

It is an amenable number.

5286316041601 is a deficient number, since it is larger than the sum of its proper divisors (1293415069778).

5286316041601 is an frugal number, since it uses more digits than its factorization.

5286316041601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 5286316041601 in words is "five trillion, two hundred eighty-six billion, three hundred sixteen million, forty-one thousand, six hundred one".