352206137052 has 432 divisors, whose sum is σ = 1227670778880. Its totient is φ = 83868825600.

The previous prime is 352206137051. The next prime is 352206137057. The reversal of 352206137052 is 250731602253.

352206137052 is a `hidden beast` number, since 3 + 5 + 220 + 61 + 370 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352206136998 and 352206137016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352206137051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11413548 + ... + 11444364.

Almost surely, 2^352206137052 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 352206137052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613835389440).

352206137052 is an abundant number, since it is smaller than the sum of its proper divisors (875464641828).

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

352206137052 is a wasteful number, since it uses less digits than its factorization.

352206137052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30902 (or 30890 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 352206137052 in words is "three hundred fifty-two billion, two hundred six million, one hundred thirty-seven thousand, fifty-two".