41167106253 has 32 divisors (see below), whose sum is σ = 75062534400. Its totient is φ = 21714516288.

The previous prime is 41167106231. The next prime is 41167106291. The reversal of 41167106253 is 35260176114.

41167106253 is a `hidden beast` number, since 4 + 1 + 16 + 7 + 10 + 625 + 3 = 666.

It is not a de Polignac number, because 41167106253 - 2¹² = 41167102157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41167106203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8375058 + ... + 8379971.

It is an arithmetic number, because the mean of its divisors is an integer number (2345704200).

Almost surely, 2^41167106253 is an apocalyptic number.

It is an amenable number.

41167106253 is a deficient number, since it is larger than the sum of its proper divisors (33895428147).

41167106253 is a wasteful number, since it uses less digits than its factorization.

41167106253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16755058 (or 16755052 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 41167106253 in words is "forty-one billion, one hundred sixty-seven million, one hundred six thousand, two hundred fifty-three".