352005313032153 has 24 divisors (see below), whose sum is σ = 555992556689856. Its totient is φ = 212829815671200.

The previous prime is 352005313032119. The next prime is 352005313032179. The reversal of 352005313032153 is 351230313500253.

It is a happy number.

352005313032153 is a `hidden beast` number, since 3 + 5 + 20 + 0 + 531 + 30 + 3 + 21 + 53 = 666.

It is not a de Polignac number, because 352005313032153 - 2³⁷ = 351867874078681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (352005313031153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4222772125 + ... + 4222855482.

It is an arithmetic number, because the mean of its divisors is an integer number (23166356528744).

Almost surely, 2^{352005313032153} is an apocalyptic number.

352005313032153 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

352005313032153 is a deficient number, since it is larger than the sum of its proper divisors (203987243657703).

352005313032153 is a wasteful number, since it uses less digits than its factorization.

352005313032153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445628045 (or 8445628042 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

The spelling of 352005313032153 in words is "three hundred fifty-two trillion, five billion, three hundred thirteen million, thirty-two thousand, one hundred fifty-three".