1353605253 has 64 divisors (see below), whose sum is σ = 2472960000. Its totient is φ = 649010880.

The previous prime is 1353605237. The next prime is 1353605261. The reversal of 1353605253 is 3525063531.

It is not a de Polignac number, because 1353605253 - 2⁴ = 1353605237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353605153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142548 + ... + 151746.

It is an arithmetic number, because the mean of its divisors is an integer number (38640000).

Almost surely, 2^1353605253 is an apocalyptic number.

1353605253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1353605253 is a deficient number, since it is larger than the sum of its proper divisors (1119354747).

1353605253 is a wasteful number, since it uses less digits than its factorization.

1353605253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The square root of 1353605253 is about 36791.3747092984. The cubic root of 1353605253 is about 1106.1924169842.

Adding to 1353605253 its reverse (3525063531), we get a palindrome (4878668784).

It can be divided in two parts, 1353 and 605253, that added together give a palindrome (606606).

The spelling of 1353605253 in words is "one billion, three hundred fifty-three million, six hundred five thousand, two hundred fifty-three".