162553792988313 has 20 divisors (see below), whose sum is σ = 243104155116900. Its totient is φ = 108245627210592.

The previous prime is 162553792988311. The next prime is 162553792988339. The reversal of 162553792988313 is 313889297355261.

162553792988313 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 537 + 9 + 2 + 9 + 8 + 83 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125327845880064 + 37225947108249 = 11194992^2 + 6101307^2 .

It is not a de Polignac number, because 162553792988313 - 2¹ = 162553792988311 is a prime.

It is a super-2 number, since 2×162553792988313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (162553792988311) 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, 1144077738 + ... + 1144219811.

It is an arithmetic number, because the mean of its divisors is an integer number (12155207755845).

Almost surely, 2^{162553792988313} is an apocalyptic number.

It is an amenable number.

162553792988313 is a deficient number, since it is larger than the sum of its proper divisors (80550362128587).

162553792988313 is an equidigital number, since it uses as much as digits as its factorization.

162553792988313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288298438 (or 2288298429 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 162553792988313 in words is "one hundred sixty-two trillion, five hundred fifty-three billion, seven hundred ninety-two million, nine hundred eighty-eight thousand, three hundred thirteen".