2111136350625 has 45 divisors (see below), whose sum is σ = 3810750902959. Its totient is φ = 1125881268000.

The previous prime is 2111136350513. The next prime is 2111136350627. The reversal of 2111136350625 is 5260536311112.

The square root of 2111136350625 is 1452975.

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

2111136350625 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 13 + 635 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1947004413201 + 164131937424 = 1395351^2 + 405132^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2111136350625 - 2¹³ = 2111136342433 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 2111136350625.

It is not an unprimeable number, because it can be changed into a prime (2111136350627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 108963439 + ... + 108982811.

Almost surely, 2^{2111136350625} is an apocalyptic number.

2111136350625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2111136350625 is the 1452975-th square number.

2111136350625 is the 726488-th centered octagonal number.

It is an amenable number.

2111136350625 is a deficient number, since it is larger than the sum of its proper divisors (1699614552334).

2111136350625 is an frugal number, since it uses more digits than its factorization.

2111136350625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38772 (or 19381 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 2111136350625 by its sum of digits (36), we get a square (76000908622500 = 8717850²).

It can be divided in two parts, 2111136 and 350625, that added together give a square (2461761 = 1569²).

The spelling of 2111136350625 in words is "two trillion, one hundred eleven billion, one hundred thirty-six million, three hundred fifty thousand, six hundred twenty-five".