10205701552005 has 64 divisors (see below), whose sum is σ = 17316186808320. Its totient is φ = 5122185868800.

The previous prime is 10205701552001. The next prime is 10205701552027. The reversal of 10205701552005 is 50025510750201.

It is not a de Polignac number, because 10205701552005 - 2² = 10205701552001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205701552001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6992370 + ... + 8324940.

It is an arithmetic number, because the mean of its divisors is an integer number (270565418880).

Almost surely, 2^{10205701552005} is an apocalyptic number.

10205701552005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10205701552005 is a deficient number, since it is larger than the sum of its proper divisors (7110485256315).

10205701552005 is a wasteful number, since it uses less digits than its factorization.

10205701552005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332962.

The product of its (nonzero) digits is 17500, while the sum is 33.

The spelling of 10205701552005 in words is "ten trillion, two hundred five billion, seven hundred one million, five hundred fifty-two thousand, five".