51020006123241 has 27 divisors (see below), whose sum is σ = 73862308580151. Its totient is φ = 33936552003744.

The previous prime is 51020006123227. The next prime is 51020006123297. The reversal of 51020006123241 is 14232160002015.

The square root of 51020006123241 is 7142829.

It is a perfect power (a square), and thus also a powerful number.

51020006123241 is a `hidden beast` number, since 5 + 1 + 0 + 2 + 0 + 0 + 0 + 612 + 3 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35689022492841 + 15330983630400 = 5974029^2 + 3915480^2 .

It is not a de Polignac number, because 51020006123241 - 2³⁵ = 50985646384873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51020006123041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10435670725 + ... + 10435675613.

Almost surely, 2^{51020006123241} is an apocalyptic number.

51020006123241 is the 7142829-th square number.

51020006123241 is the 3571415-th centered octagonal number.

It is an amenable number.

51020006123241 is a deficient number, since it is larger than the sum of its proper divisors (22842302456910).

51020006123241 is an frugal number, since it uses more digits than its factorization.

51020006123241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 51020006123241 its reverse (14232160002015), we get a palindrome (65252166125256).

The spelling of 51020006123241 in words is "fifty-one trillion, twenty billion, six million, one hundred twenty-three thousand, two hundred forty-one".