11295655531801 has 9 divisors (see below), whose sum is σ = 11330409366621. Its totient is φ = 11261008003392.

The previous prime is 11295655531757. The next prime is 11295655531847. The reversal of 11295655531801 is 10813555659211.

The square root of 11295655531801 is 3360901.

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 4343468641801 + 6952186890000 = 2084099^2 + 2636700^2 .

It is not a de Polignac number, because 11295655531801 - 2⁹ = 11295655531289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11295655931801) 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, 1132618651 + ... + 1132628623.

It is an arithmetic number, because the mean of its divisors is an integer number (1258934374069).

Almost surely, 2^{11295655531801} is an apocalyptic number.

11295655531801 is the 3360901-st square number.

11295655531801 is the 1680451-st centered octagonal number.

It is an amenable number.

11295655531801 is a deficient number, since it is larger than the sum of its proper divisors (34753834820).

11295655531801 is an frugal number, since it uses more digits than its factorization.

11295655531801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20620 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 52.

The spelling of 11295655531801 in words is "eleven trillion, two hundred ninety-five billion, six hundred fifty-five million, five hundred thirty-one thousand, eight hundred one".