11627524561 has 9 divisors (see below), whose sum is σ = 12353677851. Its totient is φ = 10941827232.

The previous prime is 11627524541. The next prime is 11627524589. The reversal of 11627524561 is 16542572611.

The square root of 11627524561 is 107831.

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., 9052571025 + 2574953536 = 95145^2 + 50744^2 .

It is not a de Polignac number, because 11627524561 - 2²¹ = 11625427409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11627524541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1829956 + ... + 1836298.

Almost surely, 2^11627524561 is an apocalyptic number.

11627524561 is the 107831-st square number.

11627524561 is the 53916-th centered octagonal number.

It is an amenable number.

11627524561 is a deficient number, since it is larger than the sum of its proper divisors (726153290).

11627524561 is an frugal number, since it uses more digits than its factorization.

11627524561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12720 (or 6360 counting only the distinct ones).

The product of its digits is 100800, while the sum is 40.

The spelling of 11627524561 in words is "eleven billion, six hundred twenty-seven million, five hundred twenty-four thousand, five hundred sixty-one".