1181145108025 has 9 divisors (see below), whose sum is σ = 1464626672173. Its totient is φ = 944911739200.

The previous prime is 1181145107971. The next prime is 1181145108037. The reversal of 1181145108025 is 5208015411811.

It is a happy number.

The square root of 1181145108025 is 1086805.

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 682545302569 + 498599805456 = 826163^2 + 706116^2 .

It is not a de Polignac number, because 1181145108025 - 2¹³ = 1181145099833 is a prime.

It is a super-2 number, since 2×1181145108025² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5325345 + ... + 5542705.

Almost surely, 2^{1181145108025} is an apocalyptic number.

1181145108025 is the 1086805-th square number.

1181145108025 is the 543403-rd centered octagonal number.

It is an amenable number.

1181145108025 is a deficient number, since it is larger than the sum of its proper divisors (283481564148).

1181145108025 is an frugal number, since it uses more digits than its factorization.

1181145108025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434732 (or 217366 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 37.

The spelling of 1181145108025 in words is "one trillion, one hundred eighty-one billion, one hundred forty-five million, one hundred eight thousand, twenty-five".