5416812801 has 9 divisors (see below), whose sum is σ = 7824604099. Its totient is φ = 3611061336.

The previous prime is 5416812773. The next prime is 5416812827. The reversal of 5416812801 is 1082186145.

The square root of 5416812801 is 73599.

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., 98903025 + 5317909776 = 9945^2 + 72924^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 5416812801 - 2³¹ = 3269329153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5416812601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 208531 + ... + 233063.

Almost surely, 2^5416812801 is an apocalyptic number.

5416812801 is the 73599-th square number.

5416812801 is the 36800-th centered octagonal number.

It is an amenable number.

5416812801 is a deficient number, since it is larger than the sum of its proper divisors (2407791298).

5416812801 is an frugal number, since it uses more digits than its factorization.

5416812801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49072 (or 24536 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The cubic root of 5416812801 is about 1756.2295316637.

Multiplying 5416812801 by its sum of digits (36), we get a square (195005260836 = 441594²).

Adding to 5416812801 its reverse (1082186145), we get a palindrome (6498998946).

The spelling of 5416812801 in words is "five billion, four hundred sixteen million, eight hundred twelve thousand, eight hundred one".