11527145377225 has 9 divisors (see below), whose sum is σ = 14293681317813. Its totient is φ = 9221702721120.

The previous prime is 11527145377211. The next prime is 11527145377249. The reversal of 11527145377225 is 52277354172511.

It is a happy number.

The square root of 11527145377225 is 3395165.

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 6819477856569 + 4707667520656 = 2611413^2 + 2169716^2 .

It is not a de Polignac number, because 11527145377225 - 2⁴¹ = 9328122121673 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16636309 + ... + 17315341.

Almost surely, 2^{11527145377225} is an apocalyptic number.

11527145377225 is the 3395165-th square number.

11527145377225 is the 1697583-rd centered octagonal number.

It is an amenable number.

11527145377225 is a deficient number, since it is larger than the sum of its proper divisors (2766535940588).

11527145377225 is an frugal number, since it uses more digits than its factorization.

11527145377225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358076 (or 679038 counting only the distinct ones).

The product of its digits is 4116000, while the sum is 52.

The spelling of 11527145377225 in words is "eleven trillion, five hundred twenty-seven billion, one hundred forty-five million, three hundred seventy-seven thousand, two hundred twenty-five".