50625 has 25 divisors (see below), whose sum is σ = 94501. Its totient is φ = 27000.

The previous prime is 50599. The next prime is 50627. The reversal of 50625 is 52605.

50625 = T_{224} + T_{225}.

The square root of 50625 is 225.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

50625 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 3969 + 46656 = 63^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (25).

It is not a de Polignac number, because 50625 - 2^{5} = 50593 is a prime.

It is a Duffinian number.

50625 is a lucky number.

It is a nialpdrome in base 5, base 9 and base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 50598 and 50607.

It is not an unprimeable number, because it can be changed into a prime (50627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 10123 + ... + 10127.

2^{50625} is an apocalyptic number.

50625 is the 225-th square number.

50625 is the 113-rd centered octagonal number.

It is an amenable number.

50625 is a deficient number, since it is larger than the sum of its proper divisors (43876).

50625 is an frugal number, since it uses more digits than its factorization.

50625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The cubic root of 50625 is about 36.9931811150.

The spelling of 50625 in words is "fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1875 2025 3375 5625 10125 16875 50625

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