51541140 has 144 divisors (see below), whose sum is σ = 171908352. Its totient is φ = 11499264.

The previous prime is 51541123. The next prime is 51541163. The reversal of 51541140 is 4114515.

It is a super-2 number, since 2×51541140² = 5312978224999200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 137994 + ... + 138366.

It is an arithmetic number, because the mean of its divisors is an integer number (1193808).

Almost surely, 2^51541140 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 51541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85954176).

51541140 is an abundant number, since it is smaller than the sum of its proper divisors (120367212).

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

51541140 is a wasteful number, since it uses less digits than its factorization.

51541140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 51541140 is about 7179.2158346159. The cubic root of 51541140 is about 372.1499857676.

Adding to 51541140 its reverse (4114515), we get a palindrome (55655655).

It can be divided in two parts, 51541 and 140, that added together give a triangular number (51681 = T₃₂₁).

The spelling of 51541140 in words is "fifty-one million, five hundred forty-one thousand, one hundred forty".