51142560 has 192 divisors, whose sum is σ = 190439424. Its totient is φ = 11289600.

The previous prime is 51142499. The next prime is 51142577. The reversal of 51142560 is 6524115.

It is a super-2 number, since 2×51142560² = 5231122886707200, which contains 22 as substring.

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 51142560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103915 + ... + 104405.

It is an arithmetic number, because the mean of its divisors is an integer number (991872).

Almost surely, 2^51142560 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 51142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95219712).

51142560 is an abundant number, since it is smaller than the sum of its proper divisors (139296864).

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

51142560 is a wasteful number, since it uses less digits than its factorization.

51142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 51142560 is about 7151.4026596186. The cubic root of 51142560 is about 371.1881938625.

Adding to 51142560 its reverse (6524115), we get a palindrome (57666675).

It can be divided in two parts, 511 and 42560, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 51142560 in words is "fifty-one million, one hundred forty-two thousand, five hundred sixty".