3213000011257 has 2 divisors, whose sum is σ = 3213000011258. Its totient is φ = 3213000011256.

The previous prime is 3213000011251. The next prime is 3213000011267. The reversal of 3213000011257 is 7521100003123.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3212970210576 + 29800681 = 1792476^2 + 5459^2 .

It is a cyclic number.

It is not a de Polignac number, because 3213000011257 - 2¹⁹ = 3212999486969 is a prime.

It is not a weakly prime, because it can be changed into another prime (3213000011251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1606500005628 + 1606500005629.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500005629).

Almost surely, 2^{3213000011257} is an apocalyptic number.

It is an amenable number.

3213000011257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3213000011257 is an equidigital number, since it uses as much as digits as its factorization.

3213000011257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The spelling of 3213000011257 in words is "three trillion, two hundred thirteen billion, eleven thousand, two hundred fifty-seven".