51253146 has 96 divisors (see below), whose sum is σ = 135782400. Its totient is φ = 13646880.

The previous prime is 51253133. The next prime is 51253183. The reversal of 51253146 is 64135215.

51253146 is a `hidden beast` number, since 512 + 5 + 3 + 146 = 666.

51253146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188991 + ... + 189261.

It is an arithmetic number, because the mean of its divisors is an integer number (1414400).

Almost surely, 2^51253146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51253146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67891200).

51253146 is an abundant number, since it is smaller than the sum of its proper divisors (84529254).

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

51253146 is a wasteful number, since it uses less digits than its factorization.

51253146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 51253146 is about 7159.1302544373. The cubic root of 51253146 is about 371.4555424061.

The spelling of 51253146 in words is "fifty-one million, two hundred fifty-three thousand, one hundred forty-six".