51380712 has 144 divisors (see below), whose sum is σ = 155282400. Its totient is φ = 15301440.

The previous prime is 51380701. The next prime is 51380717. The reversal of 51380712 is 21708315.

51380712 is a `hidden beast` number, since 513 + 80 + 71 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51380717) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 723637 + ... + 723707.

It is an arithmetic number, because the mean of its divisors is an integer number (1078350).

Almost surely, 2^51380712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51380712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77641200).

51380712 is an abundant number, since it is smaller than the sum of its proper divisors (103901688).

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

51380712 is a wasteful number, since it uses less digits than its factorization.

51380712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51380712 is about 7168.0340400977. The cubic root of 51380712 is about 371.7634639212.

It can be divided in two parts, 513 and 80712, that added together give a square (81225 = 285²).

The spelling of 51380712 in words is "fifty-one million, three hundred eighty thousand, seven hundred twelve".