51958104 has 128 divisors (see below), whose sum is σ = 152064000. Its totient is φ = 14636160.

The previous prime is 51958099. The next prime is 51958121. The reversal of 51958104 is 40185915.

51958104 = 66² + 67² + ... + 538².

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260997 + ... + 261195.

It is an arithmetic number, because the mean of its divisors is an integer number (1188000).

Almost surely, 2^51958104 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 51958104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76032000).

51958104 is an abundant number, since it is smaller than the sum of its proper divisors (100105896).

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

51958104 is a wasteful number, since it uses less digits than its factorization.

51958104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 51958104 is about 7208.1970006375. The cubic root of 51958104 is about 373.1508468974.

The spelling of 51958104 in words is "fifty-one million, nine hundred fifty-eight thousand, one hundred four".