51230248281 has 63 divisors (see below), whose sum is σ = 78524201167. Its totient is φ = 33407931600.

The previous prime is 51230248271. The next prime is 51230248297. The reversal of 51230248281 is 18284203215.

It is a happy number.

The square root of 51230248281 is 226341.

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

It can be written as a sum of positive squares in only one way, i.e., 49221415881 + 2008832400 = 221859^2 + 44820^2 .

It is not a de Polignac number, because 51230248281 - 2⁵ = 51230248249 is a prime.

It is a super-2 number, since 2×51230248281² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51230248271) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 507230131 + ... + 507230231.

Almost surely, 2^51230248281 is an apocalyptic number.

51230248281 is the 226341-st square number.

51230248281 is the 113171-st centered octagonal number.

It is an amenable number.

51230248281 is a deficient number, since it is larger than the sum of its proper divisors (27293952886).

51230248281 is an frugal number, since it uses more digits than its factorization.

51230248281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 51230248281 by its sum of digits (36), we get a square (1844288938116 = 1358046²).

The spelling of 51230248281 in words is "fifty-one billion, two hundred thirty million, two hundred forty-eight thousand, two hundred eighty-one".