11225190601 has 9 divisors (see below), whose sum is σ = 11348249653. Its totient is φ = 11103455200.

The previous prime is 11225190563. The next prime is 11225190629. The reversal of 11225190601 is 10609152211.

The square root of 11225190601 is 105949.

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 8556435001 + 2668755600 = 92501^2 + 51660^2 .

It is not a de Polignac number, because 11225190601 - 2¹⁵ = 11225157833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11225190601.

It is not an unprimeable number, because it can be changed into a prime (11225190901) 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, 10700325 + ... + 10701373.

Almost surely, 2^11225190601 is an apocalyptic number.

11225190601 is the 105949-th square number.

11225190601 is the 52975-th centered octagonal number.

It is an amenable number.

11225190601 is a deficient number, since it is larger than the sum of its proper divisors (123059052).

11225190601 is an frugal number, since it uses more digits than its factorization.

11225190601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 11225190601 in words is "eleven billion, two hundred twenty-five million, one hundred ninety thousand, six hundred one".