1353588642 has 72 divisors (see below), whose sum is σ = 3421357056. Its totient is φ = 385633584.

The previous prime is 1353588631. The next prime is 1353588653. The reversal of 1353588642 is 2468853531.

1353588642 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 588 + 64 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1353588631) and next prime (1353588653).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335803 + ... + 339809.

It is an arithmetic number, because the mean of its divisors is an integer number (47518848).

Almost surely, 2^1353588642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353588642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710678528).

1353588642 is an abundant number, since it is smaller than the sum of its proper divisors (2067768414).

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

1353588642 is a wasteful number, since it uses less digits than its factorization.

1353588642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4402 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 1353588642 is about 36791.1489627601. The cubic root of 1353588642 is about 1106.1878920221.

The spelling of 1353588642 in words is "one billion, three hundred fifty-three million, five hundred eighty-eight thousand, six hundred forty-two".