653250281121 has 9 divisors (see below), whose sum is σ = 943587241779. Its totient is φ = 435498570936.

The previous prime is 653250281119. The next prime is 653250281141. The reversal of 653250281121 is 121182052356.

The square root of 653250281121 is 808239.

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

653250281121 is a `hidden beast` number, since 6 + 5 + 3 + 250 + 281 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 642730907025 + 10519374096 = 801705^2 + 102564^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 653250281121 - 2¹ = 653250281119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (653250281141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2290011 + ... + 2559423.

Almost surely, 2^653250281121 is an apocalyptic number.

653250281121 is the 808239-th square number.

653250281121 is the 404120-th centered octagonal number.

It is an amenable number.

653250281121 is a deficient number, since it is larger than the sum of its proper divisors (290336960658).

653250281121 is an frugal number, since it uses more digits than its factorization.

653250281121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538832 (or 269416 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 653250281121 by its sum of digits (36), we get a square (23517010120356 = 4849434²).

The spelling of 653250281121 in words is "six hundred fifty-three billion, two hundred fifty million, two hundred eighty-one thousand, one hundred twenty-one".