211265641250167 has 6 divisors (see below), whose sum is σ = 245757990842088. Its totient is φ = 181084835357244.

The previous prime is 211265641250119. The next prime is 211265641250239. The reversal of 211265641250167 is 761052146562112.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-211265641250167 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49), and also a Moran number because the ratio is a prime number: 4311543698983 = 211265641250167 / (2 + 1 + 1 + 2 + 6 + 5 + 6 + 4 + 1 + 2 + 5 + 0 + 1 + 6 + 7).

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 211265641250167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211265641254167) 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 5 ways as a sum of consecutive naturals, for example, 2155771849443 + ... + 2155771849540.

It is an arithmetic number, because the mean of its divisors is an integer number (40959665140348).

Almost surely, 2^{211265641250167} is an apocalyptic number.

211265641250167 is a deficient number, since it is larger than the sum of its proper divisors (34492349591921).

211265641250167 is an equidigital number, since it uses as much as digits as its factorization.

211265641250167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311543698997 (or 4311543698990 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

The spelling of 211265641250167 in words is "two hundred eleven trillion, two hundred sixty-five billion, six hundred forty-one million, two hundred fifty thousand, one hundred sixty-seven".