1177366054225 has 81 divisors (see below), whose sum is σ = 1538550622161. Its totient is φ = 893746339200.

The previous prime is 1177366054219. The next prime is 1177366054229. The reversal of 1177366054225 is 5224506637711.

The square root of 1177366054225 is 1085065.

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

It can be written as a sum of positive squares in 4 ways, for example, as 495572352961 + 681793701264 = 703969^2 + 825708^2 .

It is not a de Polignac number, because 1177366054225 - 2²⁷ = 1177231836497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1177366054229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14903367736 + ... + 14903367814.

Almost surely, 2^{1177366054225} is an apocalyptic number.

1177366054225 is the 1085065-th square number.

1177366054225 is the 542533-rd centered octagonal number.

It is an amenable number.

1177366054225 is a deficient number, since it is larger than the sum of its proper divisors (361184567936).

1177366054225 is an frugal number, since it uses more digits than its factorization.

1177366054225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Multiplying 1177366054225 by its sum of digits (49), we get a square (57690936657025 = 7595455²).

The spelling of 1177366054225 in words is "one trillion, one hundred seventy-seven billion, three hundred sixty-six million, fifty-four thousand, two hundred twenty-five".