19813401413953 has 12 divisors (see below), whose sum is σ = 23080750600980. Its totient is φ = 16958962131552.

The previous prime is 19813401413891. The next prime is 19813401413963. The reversal of 19813401413953 is 35931410431891.

It can be written as a sum of positive squares in 2 ways, for example, as 10292085264384 + 9521316149569 = 3208128^2 + 3085663^2 .

It is not a de Polignac number, because 19813401413953 - 2²¹ = 19813399316801 is a prime.

It is a super-3 number, since 3×19813401413953³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19813401413953.

It is not an unprimeable number, because it can be changed into a prime (19813401413963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285124026 + ... + 285193507.

It is an arithmetic number, because the mean of its divisors is an integer number (1923395883415).

Almost surely, 2^{19813401413953} is an apocalyptic number.

It is an amenable number.

19813401413953 is a deficient number, since it is larger than the sum of its proper divisors (3267349187027).

19813401413953 is an equidigital number, since it uses as much as digits as its factorization.

19813401413953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570318256 (or 570318249 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 19813401413953 in words is "nineteen trillion, eight hundred thirteen billion, four hundred one million, four hundred thirteen thousand, nine hundred fifty-three".