355003554125052 has 432 divisors, whose sum is σ = 1108681416329760. Its totient is φ = 95170109497344.

The previous prime is 355003554125039. The next prime is 355003554125057. The reversal of 355003554125052 is 250521455300553.

It is a happy number.

355003554125052 is a `hidden beast` number, since 3 + 5 + 5 + 0 + 0 + 3 + 5 + 541 + 2 + 50 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 355003554124989 and 355003554125007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355003554125057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15810951858 + ... + 15810974310.

It is an arithmetic number, because the mean of its divisors is an integer number (2566392167430).

Almost surely, 2^{355003554125052} 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 355003554125052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554340708164880).

355003554125052 is an abundant number, since it is smaller than the sum of its proper divisors (753677862204708).

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

355003554125052 is a wasteful number, since it uses less digits than its factorization.

355003554125052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24090 (or 24078 counting only the distinct ones).

The product of its (nonzero) digits is 2250000, while the sum is 45.

The spelling of 355003554125052 in words is "three hundred fifty-five trillion, three billion, five hundred fifty-four million, one hundred twenty-five thousand, fifty-two".