51315000 has 160 divisors (see below), whose sum is σ = 175443840. Its totient is φ = 12400000.

The previous prime is 51314987. The next prime is 51315031. The reversal of 51315000 is 51315.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164845 + ... + 165155.

It is an arithmetic number, because the mean of its divisors is an integer number (1096524).

Almost surely, 2^51315000 is an apocalyptic number.

51315000 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 51315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87721920).

51315000 is an abundant number, since it is smaller than the sum of its proper divisors (124128840).

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

51315000 is a wasteful number, since it uses less digits than its factorization.

51315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 51315000 is about 7163.4488900250. The cubic root of 51315000 is about 371.6049106327.

Adding to 51315000 its reverse (51315), we get a palindrome (51366315).

51315000 divided by its reverse (51315) gives a cube (1000 = 10³).

The spelling of 51315000 in words is "fifty-one million, three hundred fifteen thousand".