1353120541253 has 8 divisors (see below), whose sum is σ = 1459516106496. Its totient is φ = 1247054886000.

The previous prime is 1353120541231. The next prime is 1353120541259. The reversal of 1353120541253 is 3521450213531.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1353120541253 - 2³⁸ = 1078242634309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353120541259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82468973 + ... + 82485378.

It is an arithmetic number, because the mean of its divisors is an integer number (182439513312).

Almost surely, 2^{1353120541253} is an apocalyptic number.

1353120541253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1353120541253 is a deficient number, since it is larger than the sum of its proper divisors (106395565243).

1353120541253 is a wasteful number, since it uses less digits than its factorization.

1353120541253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164954995.

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 1353120541253 its reverse (3521450213531), we get a palindrome (4874570754784).

The spelling of 1353120541253 in words is "one trillion, three hundred fifty-three billion, one hundred twenty million, five hundred forty-one thousand, two hundred fifty-three".