211162109090725 has 48 divisors (see below), whose sum is σ = 284583076923600. Its totient is φ = 154502281728000.

The previous prime is 211162109090689. The next prime is 211162109090729. The reversal of 211162109090725 is 527090901261112.

It is a Cunningham number, because it is equal to 14531418²+1.

It can be written as a sum of positive squares in 24 ways, for example, as 186423004849761 + 24739104240964 = 13653681^2 + 4973842^2 .

It is not a de Polignac number, because 211162109090725 - 2¹⁷ = 211162108959653 is a prime.

It is a super-3 number, since 3×211162109090725³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211162109090729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13981267 + ... + 24855583.

It is an arithmetic number, because the mean of its divisors is an integer number (5928814102575).

Almost surely, 2^{211162109090725} is an apocalyptic number.

211162109090725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211162109090725 is the 7767370-th nonagonal number.

It is an amenable number.

211162109090725 is a deficient number, since it is larger than the sum of its proper divisors (73420967832875).

211162109090725 is a wasteful number, since it uses less digits than its factorization.

211162109090725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10874890 (or 10874885 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 211162109090725 in words is "two hundred eleven trillion, one hundred sixty-two billion, one hundred nine million, ninety thousand, seven hundred twenty-five".