51292825 has 12 divisors (see below), whose sum is σ = 67345020. Its totient is φ = 38620160.

The previous prime is 51292811. The next prime is 51292849. The reversal of 51292825 is 52829215.

It is a happy number.

51292825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 868624 + 50424201 = 932^2 + 7101^2 .

It is not a de Polignac number, because 51292825 - 2¹¹ = 51290777 is a prime.

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 11 ways as a sum of consecutive naturals, for example, 59920 + ... + 60769.

It is an arithmetic number, because the mean of its divisors is an integer number (5612085).

Almost surely, 2^51292825 is an apocalyptic number.

It is an amenable number.

51292825 is a deficient number, since it is larger than the sum of its proper divisors (16052195).

51292825 is a wasteful number, since it uses less digits than its factorization.

51292825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120716 (or 120711 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 51292825 is about 7161.9009348077. The cubic root of 51292825 is about 371.5513751092.

The spelling of 51292825 in words is "fifty-one million, two hundred ninety-two thousand, eight hundred twenty-five".