1028191418253 has 20 divisors (see below), whose sum is σ = 1542647457340. Its totient is φ = 682467653952.

The previous prime is 1028191418251. The next prime is 1028191418339. The reversal of 1028191418253 is 3528141918201.

1028191418253 is a `hidden beast` number, since 1 + 0 + 28 + 191 + 418 + 25 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 758958077124 + 269233341129 = 871182^2 + 518877^2 .

It is not a de Polignac number, because 1028191418253 - 2¹ = 1028191418251 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1028191418199 and 1028191418208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028191418251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27697000 + ... + 27734097.

It is an arithmetic number, because the mean of its divisors is an integer number (77132372867).

Almost surely, 2^{1028191418253} is an apocalyptic number.

It is an amenable number.

1028191418253 is a deficient number, since it is larger than the sum of its proper divisors (514456039087).

1028191418253 is an equidigital number, since it uses as much as digits as its factorization.

1028191418253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55431338 (or 55431329 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1028191418253 in words is "one trillion, twenty-eight billion, one hundred ninety-one million, four hundred eighteen thousand, two hundred fifty-three".