51461652 has 144 divisors (see below), whose sum is σ = 148538880. Its totient is φ = 13708800.

The previous prime is 51461651. The next prime is 51461659. The reversal of 51461652 is 25616415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51461651) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 724777 + ... + 724847.

It is an arithmetic number, because the mean of its divisors is an integer number (1031520).

Almost surely, 2^51461652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51461652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74269440).

51461652 is an abundant number, since it is smaller than the sum of its proper divisors (97077228).

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

51461652 is a wasteful number, since it uses less digits than its factorization.

51461652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 51461652 is about 7173.6777178794. The cubic root of 51461652 is about 371.9585744135.

The spelling of 51461652 in words is "fifty-one million, four hundred sixty-one thousand, six hundred fifty-two".