51012624 has 80 divisors (see below), whose sum is σ = 146865600. Its totient is φ = 15149568.

The previous prime is 51012623. The next prime is 51012629. The reversal of 51012624 is 42621015.

It is a self number, because there is not a number n which added to its sum of digits gives 51012624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51012623) 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, 16687 + ... + 19505.

It is an arithmetic number, because the mean of its divisors is an integer number (1835820).

Almost surely, 2^51012624 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 51012624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73432800).

51012624 is an abundant number, since it is smaller than the sum of its proper divisors (95852976).

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

51012624 is a wasteful number, since it uses less digits than its factorization.

51012624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51012624 is about 7142.3122306435. The cubic root of 51012624 is about 370.8735725836.

Adding to 51012624 its reverse (42621015), we get a palindrome (93633639).

The spelling of 51012624 in words is "fifty-one million, twelve thousand, six hundred twenty-four".