5194757198401 has 9 divisors (see below), whose sum is σ = 5253986239401. Its totient is φ = 5136188570304.

The previous prime is 5194757198387. The next prime is 5194757198417. The reversal of 5194757198401 is 1048917574915.

It is a happy number.

The square root of 5194757198401 is 2279201.

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

It can be written as a sum of positive squares in 4 ways, for example, as 848699720001 + 4346057478400 = 921249^2 + 2084720^2 .

It is not a de Polignac number, because 5194757198401 - 2⁵ = 5194757198369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5194757198401.

It is not an unprimeable number, because it can be changed into a prime (5194757198431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 202836085 + ... + 202861693.

Almost surely, 2^{5194757198401} is an apocalyptic number.

5194757198401 is the 2279201-st square number.

5194757198401 is the 1139601-st centered octagonal number.

It is an amenable number.

5194757198401 is a deficient number, since it is larger than the sum of its proper divisors (59229041000).

5194757198401 is an frugal number, since it uses more digits than its factorization.

5194757198401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51396 (or 25698 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 61.

The spelling of 5194757198401 in words is "five trillion, one hundred ninety-four billion, seven hundred fifty-seven million, one hundred ninety-eight thousand, four hundred one".