4006728146653 has 2 divisors, whose sum is σ = 4006728146654. Its totient is φ = 4006728146652.

The previous prime is 4006728146647. The next prime is 4006728146671. The reversal of 4006728146653 is 3566418276004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3967215453369 + 39512693284 = 1991787^2 + 198778^2 .

It is a cyclic number.

It is not a de Polignac number, because 4006728146653 - 2⁵ = 4006728146621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4006728146653.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4006728176653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003364073326 + 2003364073327.

It is an arithmetic number, because the mean of its divisors is an integer number (2003364073327).

Almost surely, 2^{4006728146653} is an apocalyptic number.

It is an amenable number.

4006728146653 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006728146653 is an equidigital number, since it uses as much as digits as its factorization.

4006728146653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 4006728146653 in words is "four trillion, six billion, seven hundred twenty-eight million, one hundred forty-six thousand, six hundred fifty-three".