201020153345352 has 96 divisors (see below), whose sum is σ = 625182295140000. Its totient is φ = 57709134927360.

The previous prime is 201020153345279. The next prime is 201020153345357. The reversal of 201020153345352 is 253543351020102.

201020153345352 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 2 + 0 + 153 + 3 + 453 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201020153345357) 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, 6679282977 + ... + 6679313072.

It is an arithmetic number, because the mean of its divisors is an integer number (6512315574375).

Almost surely, 2^{201020153345352} is an apocalyptic number.

201020153345352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201020153345352 is an abundant number, since it is smaller than the sum of its proper divisors (424162141794648).

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

201020153345352 is a wasteful number, since it uses less digits than its factorization.

201020153345352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13358596091 (or 13358596084 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 201020153345352 in words is "two hundred one trillion, twenty billion, one hundred fifty-three million, three hundred forty-five thousand, three hundred fifty-two".