51314000 has 40 divisors (see below), whose sum is σ = 124082088. Its totient is φ = 20524800.

The previous prime is 51313991. The next prime is 51314023. The reversal of 51314000 is 41315.

It can be written as a sum of positive squares in 4 ways, for example, as 4910656 + 46403344 = 2216^2 + 6812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10829 + ... + 14828.

Almost surely, 2^51314000 is an apocalyptic number.

51314000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51314000 is an abundant number, since it is smaller than the sum of its proper divisors (72768088).

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

51314000 is a wasteful number, since it uses less digits than its factorization.

51314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25680 (or 25664 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 51314000 is about 7163.3790909040. The cubic root of 51314000 is about 371.6024967360.

Adding to 51314000 its reverse (41315), we get a palindrome (51355315).

The spelling of 51314000 in words is "fifty-one million, three hundred fourteen thousand".