5192924882401 has 9 divisors (see below), whose sum is σ = 5516400802899. Its totient is φ = 4887422252064.

The previous prime is 5192924882363. The next prime is 5192924882417. The reversal of 5192924882401 is 1042884292915.

The square root of 5192924882401 is 2278799.

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., 4042934597025 + 1149990285376 = 2010705^2 + 1072376^2 .

It is not a de Polignac number, because 5192924882401 - 2¹⁵ = 5192924849633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5192924882471) 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, 38672560 + ... + 38806606.

Almost surely, 2^{5192924882401} is an apocalyptic number.

5192924882401 is the 2278799-th square number.

5192924882401 is the 1139400-th centered octagonal number.

It is an amenable number.

5192924882401 is a deficient number, since it is larger than the sum of its proper divisors (323475920498).

5192924882401 is an frugal number, since it uses more digits than its factorization.

5192924882401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268128 (or 134064 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 5192924882401 in words is "five trillion, one hundred ninety-two billion, nine hundred twenty-four million, eight hundred eighty-two thousand, four hundred one".