2004768153253 has 2 divisors, whose sum is σ = 2004768153254. Its totient is φ = 2004768153252.

The previous prime is 2004768153239. The next prime is 2004768153263. The reversal of 2004768153253 is 3523518674002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1867655690884 + 137112462369 = 1366622^2 + 370287^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004768153253 - 2⁵ = 2004768153221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004768153203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002384076626 + 1002384076627.

It is an arithmetic number, because the mean of its divisors is an integer number (1002384076627).

Almost surely, 2^{2004768153253} is an apocalyptic number.

It is an amenable number.

2004768153253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004768153253 is an equidigital number, since it uses as much as digits as its factorization.

2004768153253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 2004768153253 in words is "two trillion, four billion, seven hundred sixty-eight million, one hundred fifty-three thousand, two hundred fifty-three".