51605125 has 32 divisors (see below), whose sum is σ = 75688704. Its totient is φ = 34632000.

The previous prime is 51605063. The next prime is 51605131. The reversal of 51605125 is 52150615.

51605125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51605125 - 2⁷ = 51604997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 51605125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16432 + ... + 19318.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272).

Almost surely, 2^51605125 is an apocalyptic number.

51605125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51605125 is a deficient number, since it is larger than the sum of its proper divisors (24083579).

51605125 is a wasteful number, since it uses less digits than its factorization.

51605125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 51605125 is about 7183.6707190684. The cubic root of 51605125 is about 372.3039221502.

Subtracting 51605125 from its reverse (52150615), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 51605125 in words is "fifty-one million, six hundred five thousand, one hundred twenty-five".