51261541 has 2 divisors, whose sum is σ = 51261542. Its totient is φ = 51261540.

The previous prime is 51261517. The next prime is 51261557. The reversal of 51261541 is 14516215.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46104100 + 5157441 = 6790^2 + 2271^2 .

It is a cyclic number.

It is not a de Polignac number, because 51261541 - 2¹⁵ = 51228773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51264541) 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 as a sum of consecutive naturals, namely, 25630770 + 25630771.

It is an arithmetic number, because the mean of its divisors is an integer number (25630771).

Almost surely, 2^51261541 is an apocalyptic number.

It is an amenable number.

51261541 is a deficient number, since it is larger than the sum of its proper divisors (1).

51261541 is an equidigital number, since it uses as much as digits as its factorization.

51261541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1200, while the sum is 25.

The square root of 51261541 is about 7159.7165446685. The cubic root of 51261541 is about 371.4758221306.

Adding to 51261541 its reverse (14516215), we get a palindrome (65777756).

It can be divided in two parts, 512615 and 41, that added together give a square (512656 = 716²).

The spelling of 51261541 in words is "fifty-one million, two hundred sixty-one thousand, five hundred forty-one".