1353224574 has 96 divisors (see below), whose sum is σ = 3345232800. Its totient is φ = 394243200.

The previous prime is 1353224519. The next prime is 1353224581. The reversal of 1353224574 is 4754223531.

1353224574 is a `hidden beast` number, since 1 + 35 + 32 + 24 + 574 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750474 + ... + 752274.

It is an arithmetic number, because the mean of its divisors is an integer number (34846175).

Almost surely, 2^1353224574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353224574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672616400).

1353224574 is an abundant number, since it is smaller than the sum of its proper divisors (1992008226).

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

1353224574 is a wasteful number, since it uses less digits than its factorization.

1353224574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1838 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 1353224574 is about 36786.2008639109. The cubic root of 1353224574 is about 1106.0887078453.

The spelling of 1353224574 in words is "one billion, three hundred fifty-three million, two hundred twenty-four thousand, five hundred seventy-four".