1353120253 has 12 divisors (see below), whose sum is σ = 1472469012. Its totient is φ = 1242452480.

The previous prime is 1353120227. The next prime is 1353120257. The reversal of 1353120253 is 3520213531.

It can be written as a sum of positive squares in 6 ways, for example, as 26193924 + 1326926329 = 5118^2 + 36427^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1353120253 is a prime.

It is a super-3 number, since 3×1353120253³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353120257) 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, 45250 + ... + 68947.

It is an arithmetic number, because the mean of its divisors is an integer number (122705751).

Almost surely, 2^1353120253 is an apocalyptic number.

It is an amenable number.

1353120253 is a deficient number, since it is larger than the sum of its proper divisors (119348759).

1353120253 is a wasteful number, since it uses less digits than its factorization.

1353120253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114272 (or 114255 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1353120253 is about 36784.7828999982. The cubic root of 1353120253 is about 1106.0602840721.

Adding to 1353120253 its reverse (3520213531), we get a palindrome (4873333784).

The spelling of 1353120253 in words is "one billion, three hundred fifty-three million, one hundred twenty thousand, two hundred fifty-three".