11071037961 has 33 divisors (see below), whose sum is σ = 16644903879. Its totient is φ = 7363646496.

The previous prime is 11071037951. The next prime is 11071037969. The reversal of 11071037961 is 16973017011.

The square root of 11071037961 is 105219.

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., 1241505225 + 9829532736 = 35235^2 + 99144^2 .

It is not a de Polignac number, because 11071037961 - 2²¹ = 11068940809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11071037969) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 25568001 + ... + 25568433.

Almost surely, 2^11071037961 is an apocalyptic number.

11071037961 is the 105219-th square number.

11071037961 is the 52610-th centered octagonal number.

It is an amenable number.

11071037961 is a deficient number, since it is larger than the sum of its proper divisors (5573865918).

11071037961 is an frugal number, since it uses more digits than its factorization.

11071037961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

Multiplying 11071037961 by its sum of digits (36), we get a square (398557366596 = 631314²).

The spelling of 11071037961 in words is "eleven billion, seventy-one million, thirty-seven thousand, nine hundred sixty-one".