51954588 has 96 divisors (see below), whose sum is σ = 162086400. Its totient is φ = 14059008.

The previous prime is 51954563. The next prime is 51954589. The reversal of 51954588 is 88545915.

It is a happy number.

51954588 is a `hidden beast` number, since 5 + 19 + 54 + 588 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51954589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12556 + ... + 16172.

It is an arithmetic number, because the mean of its divisors is an integer number (1688400).

Almost surely, 2^51954588 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 51954588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81043200).

51954588 is an abundant number, since it is smaller than the sum of its proper divisors (110131812).

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

51954588 is a wasteful number, since it uses less digits than its factorization.

51954588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3648 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The square root of 51954588 is about 7207.9531075056. The cubic root of 51954588 is about 373.1424296800.

The spelling of 51954588 in words is "fifty-one million, nine hundred fifty-four thousand, five hundred eighty-eight".