51015000 has 160 divisors (see below), whose sum is σ = 168696000. Its totient is φ = 12816000.

The previous prime is 51014959. The next prime is 51015001. The reversal of 51015000 is 51015.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51015001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284911 + ... + 285089.

It is an arithmetic number, because the mean of its divisors is an integer number (1054350).

Almost surely, 2^51015000 is an apocalyptic number.

51015000 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 51015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84348000).

51015000 is an abundant number, since it is smaller than the sum of its proper divisors (117681000).

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

51015000 is a wasteful number, since it uses less digits than its factorization.

51015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 51015000 is about 7142.4785613959. The cubic root of 51015000 is about 370.8793305174.

Adding to 51015000 its reverse (51015), we get a palindrome (51066015).

51015000 divided by its reverse (51015) gives a cube (1000 = 10³).

It can be divided in two parts, 5101 and 5000, that added together give a palindrome (10101).

The spelling of 51015000 in words is "fifty-one million, fifteen thousand".