5135666972401 has 21 divisors (see below), whose sum is σ = 5992511186649. Its totient is φ = 4401333998964.

The previous prime is 5135666972393. The next prime is 5135666972411. The reversal of 5135666972401 is 1042796665315.

It is a happy number.

The square root of 5135666972401 is 2266201.

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

It is not a de Polignac number, because 5135666972401 - 2³ = 5135666972393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5135666972411) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 777303640 + ... + 777310246.

Almost surely, 2^{5135666972401} is an apocalyptic number.

5135666972401 is the 2266201-st square number.

5135666972401 is the 1133101-st centered octagonal number.

It is an amenable number.

5135666972401 is a deficient number, since it is larger than the sum of its proper divisors (856844214248).

5135666972401 is an frugal number, since it uses more digits than its factorization.

5135666972401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13256 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 5135666972401 in words is "five trillion, one hundred thirty-five billion, six hundred sixty-six million, nine hundred seventy-two thousand, four hundred one".