1253313302553 has 12 divisors (see below), whose sum is σ = 1949598470820. Its totient is φ = 771269724576.

The previous prime is 1253313302539. The next prime is 1253313302557. The reversal of 1253313302553 is 3552033133521.

It is a happy number.

1253313302553 is a `hidden beast` number, since 1 + 253 + 3 + 1 + 330 + 25 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 403031983104 + 850281319449 = 634848^2 + 922107^2 .

It is not a de Polignac number, because 1253313302553 - 2¹⁸ = 1253313040409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1253313302557) 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 in 11 ways as a sum of consecutive naturals, for example, 5356039638 + ... + 5356039871.

It is an arithmetic number, because the mean of its divisors is an integer number (162466539235).

Almost surely, 2^{1253313302553} is an apocalyptic number.

1253313302553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1253313302553 is a deficient number, since it is larger than the sum of its proper divisors (696285168267).

1253313302553 is a wasteful number, since it uses less digits than its factorization.

1253313302553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712079528 (or 10712079525 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

The spelling of 1253313302553 in words is "one trillion, two hundred fifty-three billion, three hundred thirteen million, three hundred two thousand, five hundred fifty-three".