51071040 has 224 divisors, whose sum is σ = 188732160. Its totient is φ = 12976128.

The previous prime is 51071039. The next prime is 51071047. The reversal of 51071040 is 4017015.

It is a super-2 number, since 2×51071040² = 5216502253363200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51071047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198592 + ... + 198848.

Almost surely, 2^51071040 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 51071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94366080).

51071040 is an abundant number, since it is smaller than the sum of its proper divisors (137661120).

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

51071040 is a wasteful number, since it uses less digits than its factorization.

51071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 51071040 is about 7146.4004925557. The cubic root of 51071040 is about 371.0150845236.

Adding to 51071040 its reverse (4017015), we get a palindrome (55088055).

The spelling of 51071040 in words is "fifty-one million, seventy-one thousand, forty".