51005461 has 16 divisors (see below), whose sum is σ = 57198960. Its totient is φ = 45158400.

The previous prime is 51005429. The next prime is 51005473. The reversal of 51005461 is 16450015.

It can be written as a sum of positive squares in 8 ways, for example, as 680625 + 50324836 = 825^2 + 7094^2 .

It is a cyclic number.

It is not a de Polignac number, because 51005461 - 2⁵ = 51005429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72411 + ... + 73111.

It is an arithmetic number, because the mean of its divisors is an integer number (3574935).

Almost surely, 2^51005461 is an apocalyptic number.

It is an amenable number.

51005461 is a deficient number, since it is larger than the sum of its proper divisors (6193499).

51005461 is a wasteful number, since it uses less digits than its factorization.

51005461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 51005461 is about 7141.8107647851. The cubic root of 51005461 is about 370.8562128823.

Adding to 51005461 its reverse (16450015), we get a palindrome (67455476).

The spelling of 51005461 in words is "fifty-one million, five thousand, four hundred sixty-one".