51188130 has 96 divisors (see below), whose sum is σ = 157068288. Its totient is φ = 11318400.

The previous prime is 51188117. The next prime is 51188143. The reversal of 51188130 is 3188115.

It is an interprime number because it is at equal distance from previous prime (51188117) and next prime (51188143).

It is a junction number, because it is equal to n+sod(n) for n = 51188094 and 51188103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18220 + ... + 20840.

It is an arithmetic number, because the mean of its divisors is an integer number (1636128).

Almost surely, 2^51188130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51188130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78534144).

51188130 is an abundant number, since it is smaller than the sum of its proper divisors (105880158).

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

51188130 is a wasteful number, since it uses less digits than its factorization.

51188130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 51188130 is about 7154.5880384548. The cubic root of 51188130 is about 371.2984088152.

The spelling of 51188130 in words is "fifty-one million, one hundred eighty-eight thousand, one hundred thirty".