2057613281813 has 2 divisors, whose sum is σ = 2057613281814. Its totient is φ = 2057613281812.

The previous prime is 2057613281809. The next prime is 2057613281819. The reversal of 2057613281813 is 3181823167502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2039349651364 + 18263630449 = 1428058^2 + 135143^2 .

It is a cyclic number.

It is not a de Polignac number, because 2057613281813 - 2² = 2057613281809 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2057613281819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1028806640906 + 1028806640907.

It is an arithmetic number, because the mean of its divisors is an integer number (1028806640907).

Almost surely, 2^{2057613281813} is an apocalyptic number.

It is an amenable number.

2057613281813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2057613281813 is an equidigital number, since it uses as much as digits as its factorization.

2057613281813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 2057613281813 in words is "two trillion, fifty-seven billion, six hundred thirteen million, two hundred eighty-one thousand, eight hundred thirteen".