51957312 has 112 divisors (see below), whose sum is σ = 152473152. Its totient is φ = 15482880.

The previous prime is 51957307. The next prime is 51957319. The reversal of 51957312 is 21375915.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (51957319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154008 + ... + 154344.

Almost surely, 2^51957312 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 51957312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76236576).

51957312 is an abundant number, since it is smaller than the sum of its proper divisors (100515840).

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

51957312 is a wasteful number, since it uses less digits than its factorization.

51957312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its digits is 9450, while the sum is 33.

The square root of 51957312 is about 7208.1420629730. The cubic root of 51957312 is about 373.1489509020.

The spelling of 51957312 in words is "fifty-one million, nine hundred fifty-seven thousand, three hundred twelve".