2571353352641 has 2 divisors, whose sum is σ = 2571353352642. Its totient is φ = 2571353352640.

The previous prime is 2571353352587. The next prime is 2571353352713. The reversal of 2571353352641 is 1462533531752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2028619095616 + 542734257025 = 1424296^2 + 736705^2 .

It is a cyclic number.

It is not a de Polignac number, because 2571353352641 - 2⁶ = 2571353352577 is a prime.

It is a super-2 number, since 2×2571353352641² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2571353352041) 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 as a sum of consecutive naturals, namely, 1285676676320 + 1285676676321.

It is an arithmetic number, because the mean of its divisors is an integer number (1285676676321).

Almost surely, 2^{2571353352641} is an apocalyptic number.

It is an amenable number.

2571353352641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2571353352641 is an equidigital number, since it uses as much as digits as its factorization.

2571353352641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268000, while the sum is 47.

The spelling of 2571353352641 in words is "two trillion, five hundred seventy-one billion, three hundred fifty-three million, three hundred fifty-two thousand, six hundred forty-one".