51186630 has 96 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 12147520.

The previous prime is 51186623. The next prime is 51186631. The reversal of 51186630 is 3668115.

51186630 = 5² + 6² + ... + 535².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51186631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214051 + ... + 214289.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^51186630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51186630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

51186630 is an abundant number, since it is smaller than the sum of its proper divisors (86707770).

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

51186630 is a wasteful number, since it uses less digits than its factorization.

51186630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 51186630 is about 7154.4832098482. The cubic root of 51186630 is about 371.2947819779.

It can be divided in two parts, 51 and 186630, that added together give a palindrome (186681).

The spelling of 51186630 in words is "fifty-one million, one hundred eighty-six thousand, six hundred thirty".