5842125868401 has 45 divisors (see below), whose sum is σ = 8768296465929. Its totient is φ = 3876463186200.

The previous prime is 5842125868349. The next prime is 5842125868457. The reversal of 5842125868401 is 1048685212485.

It is a happy number.

The square root of 5842125868401 is 2417049.

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

5842125868401 is a `hidden beast` number, since 5 + 8 + 4 + 2 + 12 + 586 + 8 + 40 + 1 = 666.

It is not a de Polignac number, because 5842125868401 - 2⁷ = 5842125868273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5842125868801) 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, 5895182016 + ... + 5895183006.

Almost surely, 2^{5842125868401} is an apocalyptic number.

5842125868401 is the 2417049-th square number.

5842125868401 is the 1208525-th centered octagonal number.

It is an amenable number.

5842125868401 is a deficient number, since it is larger than the sum of its proper divisors (2926170597528).

5842125868401 is an frugal number, since it uses more digits than its factorization.

5842125868401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 5842125868401 in words is "five trillion, eight hundred forty-two billion, one hundred twenty-five million, eight hundred sixty-eight thousand, four hundred one".