51561120 has 96 divisors (see below), whose sum is σ = 174932352. Its totient is φ = 12690432.

The previous prime is 51561061. The next prime is 51561127. The reversal of 51561120 is 2116515.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×51561120³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51561127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (1822212).

Almost surely, 2^51561120 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 51561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87466176).

51561120 is an abundant number, since it is smaller than the sum of its proper divisors (123371232).

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

51561120 is a wasteful number, since it uses less digits than its factorization.

51561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 51561120 is about 7180.6072166635. The cubic root of 51561120 is about 372.1980677213.

Adding to 51561120 its reverse (2116515), we get a palindrome (53677635).

It can be divided in two parts, 51561 and 120, that added together give a triangular number (51681 = T₃₂₁).

The spelling of 51561120 in words is "fifty-one million, five hundred sixty-one thousand, one hundred twenty".