51190164 has 48 divisors (see below), whose sum is σ = 133604800. Its totient is φ = 16949088.

The previous prime is 51190141. The next prime is 51190177. The reversal of 51190164 is 46109115.

51190164 is a `hidden beast` number, since 511 + 90 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15447 + ... + 18465.

Almost surely, 2^51190164 is an apocalyptic number.

51190164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51190164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66802400).

51190164 is an abundant number, since it is smaller than the sum of its proper divisors (82414636).

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

51190164 is a wasteful number, since it uses less digits than its factorization.

51190164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 51190164 is about 7154.7301835918. The cubic root of 51190164 is about 371.3033266934.

Adding to 51190164 its reverse (46109115), we get a palindrome (97299279).

The spelling of 51190164 in words is "fifty-one million, one hundred ninety thousand, one hundred sixty-four".