2546372741233 has 2 divisors, whose sum is σ = 2546372741234. Its totient is φ = 2546372741232.

The previous prime is 2546372741219. The next prime is 2546372741249. The reversal of 2546372741233 is 3321472736452.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2288585019249 + 257787721984 = 1512807^2 + 507728^2 .

It is a cyclic number.

It is not a de Polignac number, because 2546372741233 - 2⁵ = 2546372741201 is a prime.

It is not a weakly prime, because it can be changed into another prime (2546372741333) 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, 1273186370616 + 1273186370617.

It is an arithmetic number, because the mean of its divisors is an integer number (1273186370617).

Almost surely, 2^{2546372741233} is an apocalyptic number.

It is an amenable number.

2546372741233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2546372741233 is an equidigital number, since it uses as much as digits as its factorization.

2546372741233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5080320, while the sum is 49.

The spelling of 2546372741233 in words is "two trillion, five hundred forty-six billion, three hundred seventy-two million, seven hundred forty-one thousand, two hundred thirty-three".