11017958287561 has 9 divisors (see below), whose sum is σ = 11036507977191. Its totient is φ = 10999439739912.

The previous prime is 11017958287547. The next prime is 11017958287573. The reversal of 11017958287561 is 16578285971011.

The square root of 11017958287561 is 3319331.

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., 10952955725625 + 65002561936 = 3309525^2 + 254956^2 .

It is not a de Polignac number, because 11017958287561 - 2¹¹ = 11017958285513 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 11017958287561.

It is not an unprimeable number, because it can be changed into a prime (11017958287361) 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, 2247184636 + ... + 2247189538.

Almost surely, 2^{11017958287561} is an apocalyptic number.

11017958287561 is the 3319331-st square number.

11017958287561 is the 1659666-th centered octagonal number.

It is an amenable number.

11017958287561 is a deficient number, since it is larger than the sum of its proper divisors (18549689630).

11017958287561 is an frugal number, since it uses more digits than its factorization.

11017958287561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11160 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 61.

The spelling of 11017958287561 in words is "eleven trillion, seventeen billion, nine hundred fifty-eight million, two hundred eighty-seven thousand, five hundred sixty-one".