5191058401 has 9 divisors (see below), whose sum is σ = 5247057753. Its totient is φ = 5135652720.

The previous prime is 5191058357. The next prime is 5191058417. The reversal of 5191058401 is 1048501915.

The square root of 5191058401 is 72049.

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

5191058401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1267288801 + 3923769600 = 35599^2 + 62640^2 .

It is not a de Polignac number, because 5191058401 - 2²¹ = 5188961249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5191058501) 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, 7853011 + ... + 7853671.

It is an arithmetic number, because the mean of its divisors is an integer number (583006417).

Almost surely, 2^5191058401 is an apocalyptic number.

5191058401 is the 72049-th square number.

5191058401 is the 36025-th centered octagonal number.

It is an amenable number.

5191058401 is a deficient number, since it is larger than the sum of its proper divisors (55999352).

5191058401 is an frugal number, since it uses more digits than its factorization.

5191058401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 34.

The cubic root of 5191058401 is about 1731.4846200970.

The spelling of 5191058401 in words is "five billion, one hundred ninety-one million, fifty-eight thousand, four hundred one".