551824636801 has 27 divisors (see below), whose sum is σ = 602976182907. Its totient is φ = 504899608320.

The previous prime is 551824636787. The next prime is 551824636907. The reversal of 551824636801 is 108636428155.

The square root of 551824636801 is 742849.

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

551824636801 is digitally balanced in base 2, 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 13 ways, for example, as 108108782401 + 443715854400 = 328799^2 + 666120^2 .

It is not a de Polignac number, because 551824636801 - 2³³ = 543234702209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (551824630801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 467251431 + ... + 467252611.

Almost surely, 2^551824636801 is an apocalyptic number.

551824636801 is the 742849-th square number.

551824636801 is the 371425-th centered octagonal number.

It is an amenable number.

551824636801 is a deficient number, since it is larger than the sum of its proper divisors (51151546106).

551824636801 is an frugal number, since it uses more digits than its factorization.

551824636801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 551824636801 by its sum of digits (49), we get a square (27039407203249 = 5199943²).

The spelling of 551824636801 in words is "five hundred fifty-one billion, eight hundred twenty-four million, six hundred thirty-six thousand, eight hundred one".