51675580 has 96 divisors (see below), whose sum is σ = 128786112. Its totient is φ = 17203200.

The previous prime is 51675571. The next prime is 51675581. The reversal of 51675580 is 8557615.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51675581) by changing a digit.

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, 153172 + ... + 153508.

It is an arithmetic number, because the mean of its divisors is an integer number (1341522).

Almost surely, 2^51675580 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 51675580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64393056).

51675580 is an abundant number, since it is smaller than the sum of its proper divisors (77110532).

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

51675580 is a wasteful number, since it uses less digits than its factorization.

51675580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 37.

The square root of 51675580 is about 7188.5728764477. The cubic root of 51675580 is about 372.4732770644.

The spelling of 51675580 in words is "fifty-one million, six hundred seventy-five thousand, five hundred eighty".