51456253 has 2 divisors, whose sum is σ = 51456254. Its totient is φ = 51456252.

The previous prime is 51456247. The next prime is 51456257. The reversal of 51456253 is 35265415.

51456253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47306884 + 4149369 = 6878^2 + 2037^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51456253 is a prime.

It is equal to p_3083188 and since 51456253 and 3083188 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51456257) by changing a digit.

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 as a sum of consecutive naturals, namely, 25728126 + 25728127.

It is an arithmetic number, because the mean of its divisors is an integer number (25728127).

Almost surely, 2^51456253 is an apocalyptic number.

It is an amenable number.

51456253 is a deficient number, since it is larger than the sum of its proper divisors (1).

51456253 is an equidigital number, since it uses as much as digits as its factorization.

51456253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18000, while the sum is 31.

The square root of 51456253 is about 7173.3014017257. The cubic root of 51456253 is about 371.9455661864.

The spelling of 51456253 in words is "fifty-one million, four hundred fifty-six thousand, two hundred fifty-three".