1234335041253 has 42 divisors (see below), whose sum is σ = 1886235964466. Its totient is φ = 807362461152.

The previous prime is 1234335041209. The next prime is 1234335041263. The reversal of 1234335041253 is 3521405334321.

1234335041253 is a `hidden beast` number, since 1 + 2 + 34 + 335 + 0 + 41 + 253 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 346100419809 + 888234621444 = 588303^2 + 942462^2 .

It is not a de Polignac number, because 1234335041253 - 2⁶ = 1234335041189 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234335041263) 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 41 ways as a sum of consecutive naturals, for example, 1746375 + ... + 2349147.

Almost surely, 2^{1234335041253} is an apocalyptic number.

It is an amenable number.

1234335041253 is a deficient number, since it is larger than the sum of its proper divisors (651900923213).

1234335041253 is an frugal number, since it uses more digits than its factorization.

1234335041253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602897 (or 602829 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 1234335041253 in words is "one trillion, two hundred thirty-four billion, three hundred thirty-five million, forty-one thousand, two hundred fifty-three".