51313000 has 96 divisors (see below), whose sum is σ = 126813960. Its totient is φ = 19430400.

The previous prime is 51312983. The next prime is 51313001. The reversal of 51313000 is 31315.

It can be written as a sum of positive squares in 4 ways, for example, as 13883076 + 37429924 = 3726^2 + 6118^2 .

It is not an unprimeable number, because it can be changed into a prime (51313001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528952 + ... + 529048.

Almost surely, 2^51313000 is an apocalyptic number.

51313000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63406980).

51313000 is an abundant number, since it is smaller than the sum of its proper divisors (75500960).

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

51313000 is a wasteful number, since it uses less digits than its factorization.

51313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 51313000 is about 7163.3092911028. The cubic root of 51313000 is about 371.6000828079.

Adding to 51313000 its reverse (31315), we get a palindrome (51344315).

The spelling of 51313000 in words is "fifty-one million, three hundred thirteen thousand".