51005160 has 128 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 13413888.

The previous prime is 51005057. The next prime is 51005167. The reversal of 51005160 is 6150015.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005167) 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 31 ways as a sum of consecutive naturals, for example, 89356 + ... + 89924.

It is an arithmetic number, because the mean of its divisors is an integer number (1346625).

Almost surely, 2^51005160 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 51005160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

51005160 is an abundant number, since it is smaller than the sum of its proper divisors (121362840).

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

51005160 is a wasteful number, since it uses less digits than its factorization.

51005160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 51005160 is about 7141.7896916669. The cubic root of 51005160 is about 370.8554833660.

Adding to 51005160 its reverse (6150015), we get a palindrome (57155175).

The spelling of 51005160 in words is "fifty-one million, five thousand, one hundred sixty".