53951166 has 48 divisors (see below), whose sum is σ = 124669584. Its totient is φ = 16803072.

The previous prime is 53951153. The next prime is 53951167. The reversal of 53951166 is 66115935.

53951166 is a `hidden beast` number, since 539 + 5 + 116 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53951166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53951167) 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 23 ways as a sum of consecutive naturals, for example, 47481 + ... + 48603.

It is an arithmetic number, because the mean of its divisors is an integer number (2597283).

Almost surely, 2^53951166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53951166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62334792).

53951166 is an abundant number, since it is smaller than the sum of its proper divisors (70718418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53951166 is a wasteful number, since it uses less digits than its factorization.

53951166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1302 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 53951166 is about 7345.1457439591. The cubic root of 53951166 is about 377.8623417447.

It can be divided in two parts, 5395 and 1166, that added together give a 8-th power (6561 = 3⁸).

The spelling of 53951166 in words is "fifty-three million, nine hundred fifty-one thousand, one hundred sixty-six".