1353532005 has 64 divisors (see below), whose sum is σ = 2764800000. Its totient is φ = 615435840.

The previous prime is 1353531983. The next prime is 1353532009. The reversal of 1353532005 is 5002353531.

It is not a de Polignac number, because 1353532005 - 2⁵ = 1353531973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1353532005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353532009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176746 + ... + 184244.

It is an arithmetic number, because the mean of its divisors is an integer number (43200000).

Almost surely, 2^1353532005 is an apocalyptic number.

1353532005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1353532005 is an abundant number, since it is smaller than the sum of its proper divisors (1411267995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1353532005 is a wasteful number, since it uses less digits than its factorization.

1353532005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 1353532005 is about 36790.3792451233. The cubic root of 1353532005 is about 1106.1724633964.

Adding to 1353532005 its reverse (5002353531), we get a palindrome (6355885536).

The spelling of 1353532005 in words is "one billion, three hundred fifty-three million, five hundred thirty-two thousand, five".