211053457127041 has 9 divisors (see below), whose sum is σ = 216076461267459. Its totient is φ = 206144627031336.

The previous prime is 211053457126991. The next prime is 211053457127089. The reversal of 211053457127041 is 140721754350112.

The square root of 211053457127041 is 14527679.

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., 51046237962225 + 160007219164816 = 7144665^2 + 12649396^2 .

It is not a de Polignac number, because 211053457127041 - 2⁴³ = 202257364104833 is a prime.

It is a super-2 number, since 2×211053457127041² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211053457127641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 624521271 + ... + 624859123.

Almost surely, 2^{211053457127041} is an apocalyptic number.

211053457127041 is the 14527679-th square number.

211053457127041 is the 7263840-th centered octagonal number.

It is an amenable number.

211053457127041 is a deficient number, since it is larger than the sum of its proper divisors (5023004140418).

211053457127041 is an frugal number, since it uses more digits than its factorization.

211053457127041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675792 (or 337896 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 211053457127041 in words is "two hundred eleven trillion, fifty-three billion, four hundred fifty-seven million, one hundred twenty-seven thousand, forty-one".