51419600 has 30 divisors (see below), whose sum is σ = 123536550. Its totient is φ = 20567680.

The previous prime is 51419597. The next prime is 51419629. The reversal of 51419600 is 691415.

It can be written as a sum of positive squares in 3 ways, for example, as 839056 + 50580544 = 916^2 + 7112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51419600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63875 + ... + 64674.

It is an arithmetic number, because the mean of its divisors is an integer number (4117885).

Almost surely, 2^51419600 is an apocalyptic number.

51419600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51419600 is an abundant number, since it is smaller than the sum of its proper divisors (72116950).

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

51419600 is a wasteful number, since it uses less digits than its factorization.

51419600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128567 (or 128556 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 51419600 is about 7170.7461257529. The cubic root of 51419600 is about 371.8572312203.

It can be divided in two parts, 5141 and 9600, that added together give a palindrome (14741).

The spelling of 51419600 in words is "fifty-one million, four hundred nineteen thousand, six hundred".