33872811257 has 2 divisors, whose sum is σ = 33872811258. Its totient is φ = 33872811256.

The previous prime is 33872811239. The next prime is 33872811283. The reversal of 33872811257 is 75211827833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25963199161 + 7909612096 = 161131^2 + 88936^2 .

It is a cyclic number.

It is not a de Polignac number, because 33872811257 - 2¹⁶ = 33872745721 is a prime.

It is a super-2 number, since 2×33872811257² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33872817257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16936405628 + 16936405629.

It is an arithmetic number, because the mean of its divisors is an integer number (16936405629).

Almost surely, 2^33872811257 is an apocalyptic number.

It is an amenable number.

33872811257 is a deficient number, since it is larger than the sum of its proper divisors (1).

33872811257 is an equidigital number, since it uses as much as digits as its factorization.

33872811257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 564480, while the sum is 47.

The spelling of 33872811257 in words is "thirty-three billion, eight hundred seventy-two million, eight hundred eleven thousand, two hundred fifty-seven".