352055521125 has 128 divisors (see below), whose sum is σ = 811526676480. Its totient is φ = 146308680000.

The previous prime is 352055521123. The next prime is 352055521127. The reversal of 352055521125 is 521125550253.

352055521125 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 5 + 5 + 521 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (352055521123) and next prime (352055521127).

It is not a de Polignac number, because 352055521125 - 2¹ = 352055521123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 352055521125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352055521121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 417481 + ... + 937230.

It is an arithmetic number, because the mean of its divisors is an integer number (6340052160).

Almost surely, 2^352055521125 is an apocalyptic number.

352055521125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

352055521125 is an abundant number, since it is smaller than the sum of its proper divisors (459471155355).

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

352055521125 is a wasteful number, since it uses less digits than its factorization.

352055521125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354753 (or 1354737 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 352055521125 in words is "three hundred fifty-two billion, fifty-five million, five hundred twenty-one thousand, one hundred twenty-five".