11035717220025 has 81 divisors (see below), whose sum is σ = 20665106887789. Its totient is φ = 5629230488640.

The previous prime is 11035717219991. The next prime is 11035717220089. The reversal of 11035717220025 is 52002271753011.

The square root of 11035717220025 is 3322005.

It is a perfect power (a square), and thus also a powerful number.

11035717220025 is a `hidden beast` number, since 1 + 10 + 3 + 571 + 72 + 2 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2932221291129 + 8103495928896 = 1712373^2 + 2846664^2 .

It is not a de Polignac number, because 11035717220025 - 2⁷ = 11035717219897 is a prime.

It is a super-2 number, since 2×11035717220025² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1146086911 + ... + 1146096539.

Almost surely, 2^{11035717220025} is an apocalyptic number.

11035717220025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11035717220025 is the 3322005-th square number.

11035717220025 is the 1661003-rd centered octagonal number.

It is an amenable number.

11035717220025 is a deficient number, since it is larger than the sum of its proper divisors (9629389667764).

11035717220025 is an frugal number, since it uses more digits than its factorization.

11035717220025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19320 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Multiplying 11035717220025 by its sum of digits (36), we get a square (397285819920900 = 19932030²).

Adding to 11035717220025 its reverse (52002271753011), we get a palindrome (63037988973036).

The spelling of 11035717220025 in words is "eleven trillion, thirty-five billion, seven hundred seventeen million, two hundred twenty thousand, twenty-five".