11137261 has 16 divisors (see below), whose sum is σ = 12317184. Its totient is φ = 10027264.

The previous prime is 11137241. The next prime is 11137271. The reversal of 11137261 is 16273111.

11137261 = T₁₂₈ + T₁₂₉ + ... + T₄₀₉.

It is a cyclic number.

It is not a de Polignac number, because 11137261 - 2¹¹ = 11135213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11137241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42216 + ... + 42478.

It is an arithmetic number, because the mean of its divisors is an integer number (769824).

Almost surely, 2^11137261 is an apocalyptic number.

It is an amenable number.

11137261 is a deficient number, since it is larger than the sum of its proper divisors (1179923).

11137261 is a wasteful number, since it uses less digits than its factorization.

11137261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380.

The product of its digits is 252, while the sum is 22.

The square root of 11137261 is about 3337.2535114971. The cubic root of 11137261 is about 223.3192355151.

The spelling of 11137261 in words is "eleven million, one hundred thirty-seven thousand, two hundred sixty-one".