10882753251353 has 2 divisors, whose sum is σ = 10882753251354. Its totient is φ = 10882753251352.

The previous prime is 10882753251329. The next prime is 10882753251373. The reversal of 10882753251353 is 35315235728801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10582347314704 + 300405936649 = 3253052^2 + 548093^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10882753251353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10882753251295 and 10882753251304.

It is not a weakly prime, because it can be changed into another prime (10882753251373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5441376625676 + 5441376625677.

It is an arithmetic number, because the mean of its divisors is an integer number (5441376625677).

Almost surely, 2^{10882753251353} is an apocalyptic number.

It is an amenable number.

10882753251353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10882753251353 is an equidigital number, since it uses as much as digits as its factorization.

10882753251353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048000, while the sum is 53.

The spelling of 10882753251353 in words is "ten trillion, eight hundred eighty-two billion, seven hundred fifty-three million, two hundred fifty-one thousand, three hundred fifty-three".