653921291716 has 243 divisors, whose sum is σ = 1505348988717. Its totient is φ = 247642200960.

The previous prime is 653921291713. The next prime is 653921291747. The reversal of 653921291716 is 617192129356.

The square root of 653921291716 is 808654.

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., 125566757316 + 528354534400 = 354354^2 + 726880^2 .

It is a super-2 number, since 2×653921291716² (a number of 24 digits) contains 22 as substring.

Its product of digits (1224720) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (653921291713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7347430200 + ... + 7347430288.

Almost surely, 2^653921291716 is an apocalyptic number.

653921291716 is the 808654-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653921291716

653921291716 is an abundant number, since it is smaller than the sum of its proper divisors (851427697001).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

653921291716 is a wasteful number, since it uses less digits than its factorization.

653921291716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 52.

The spelling of 653921291716 in words is "six hundred fifty-three billion, nine hundred twenty-one million, two hundred ninety-one thousand, seven hundred sixteen".