1353505413 has 32 divisors (see below), whose sum is σ = 2055208960. Its totient is φ = 785453760.

The previous prime is 1353505409. The next prime is 1353505469. The reversal of 1353505413 is 3145053531.

It is not a de Polignac number, because 1353505413 - 2² = 1353505409 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 (1353505213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161148 + ... + 169338.

It is an arithmetic number, because the mean of its divisors is an integer number (64225280).

Almost surely, 2^1353505413 is an apocalyptic number.

1353505413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1353505413 is a deficient number, since it is larger than the sum of its proper divisors (701703547).

1353505413 is a wasteful number, since it uses less digits than its factorization.

1353505413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8449.

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 1353505413 is about 36790.0178445186. The cubic root of 1353505413 is about 1106.1652192552.

Adding to 1353505413 its reverse (3145053531), we get a palindrome (4498558944).

The spelling of 1353505413 in words is "one billion, three hundred fifty-three million, five hundred five thousand, four hundred thirteen".