10400554344253 has 2 divisors, whose sum is σ = 10400554344254. Its totient is φ = 10400554344252.

The previous prime is 10400554344211. The next prime is 10400554344281. The reversal of 10400554344253 is 35244345500401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7292392396249 + 3108161948004 = 2700443^2 + 1762998^2 .

It is a cyclic number.

It is not a de Polignac number, because 10400554344253 - 2³³ = 10391964409661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400554344293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200277172126 + 5200277172127.

It is an arithmetic number, because the mean of its divisors is an integer number (5200277172127).

Almost surely, 2^{10400554344253} is an apocalyptic number.

It is an amenable number.

10400554344253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400554344253 is an equidigital number, since it uses as much as digits as its factorization.

10400554344253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 10400554344253 its reverse (35244345500401), we get a palindrome (45644899844654).

The spelling of 10400554344253 in words is "ten trillion, four hundred billion, five hundred fifty-four million, three hundred forty-four thousand, two hundred fifty-three".