1352507224236 has 192 divisors, whose sum is σ = 3678275758080. Its totient is φ = 378855014400.

The previous prime is 1352507224069. The next prime is 1352507224259. The reversal of 1352507224236 is 6324227052531.

It is a super-2 number, since 2×1352507224236² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374965545 + ... + 374969151.

It is an arithmetic number, because the mean of its divisors is an integer number (19157686240).

Almost surely, 2^{1352507224236} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352507224236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839137879040).

1352507224236 is an abundant number, since it is smaller than the sum of its proper divisors (2325768533844).

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

1352507224236 is a wasteful number, since it uses less digits than its factorization.

1352507224236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 1352507224236 in words is "one trillion, three hundred fifty-two billion, five hundred seven million, two hundred twenty-four thousand, two hundred thirty-six".