51958350 has 144 divisors (see below), whose sum is σ = 150883200. Its totient is φ = 12778560.

The previous prime is 51958327. The next prime is 51958381. The reversal of 51958350 is 5385915.

It is a happy number.

It is a super-3 number, since 3×51958350³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 504399 + ... + 504501.

It is an arithmetic number, because the mean of its divisors is an integer number (1047800).

Almost surely, 2^51958350 is an apocalyptic number.

51958350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51958350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75441600).

51958350 is an abundant number, since it is smaller than the sum of its proper divisors (98924850).

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

51958350 is a wasteful number, since it uses less digits than its factorization.

51958350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 51958350 is about 7208.2140645239. The cubic root of 51958350 is about 373.1514358011.

The spelling of 51958350 in words is "fifty-one million, nine hundred fifty-eight thousand, three hundred fifty".