51061560 has 128 divisors (see below), whose sum is σ = 169205760. Its totient is φ = 12224000.

The previous prime is 51061553. The next prime is 51061579. The reversal of 51061560 is 6516015.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 51061560.

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 31 ways as a sum of consecutive naturals, for example, 133129 + ... + 133511.

It is an arithmetic number, because the mean of its divisors is an integer number (1321920).

Almost surely, 2^51061560 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 51061560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602880).

51061560 is an abundant number, since it is smaller than the sum of its proper divisors (118144200).

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

51061560 is a wasteful number, since it uses less digits than its factorization.

51061560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 51061560 is about 7145.7371908012. The cubic root of 51061560 is about 370.9921266943.

Adding to 51061560 its reverse (6516015), we get a palindrome (57577575).

It can be divided in two parts, 5106 and 1560, that added together give a palindrome (6666).

The spelling of 51061560 in words is "fifty-one million, sixty-one thousand, five hundred sixty".