653011064281 has 27 divisors (see below), whose sum is σ = 677606832189. Its totient is φ = 629302482432.

The previous prime is 653011064273. The next prime is 653011064291. The reversal of 653011064281 is 182460110356.

It is a happy number.

The square root of 653011064281 is 808091.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1148599881 + 651862464400 = 33891^2 + 807380^2 .

It is not a de Polignac number, because 653011064281 - 2³ = 653011064273 is a prime.

It is a super-2 number, since 2×653011064281² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 653011064281.

It is not an unprimeable number, because it can be changed into a prime (653011064291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3383476921 + ... + 3383477113.

Almost surely, 2^653011064281 is an apocalyptic number.

653011064281 is the 808091-st square number.

653011064281 is the 404046-th centered octagonal number.

It is an amenable number.

653011064281 is a deficient number, since it is larger than the sum of its proper divisors (24595767908).

653011064281 is an frugal number, since it uses more digits than its factorization.

653011064281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 653011064281 in words is "six hundred fifty-three billion, eleven million, sixty-four thousand, two hundred eighty-one".