1205052867001 has 9 divisors (see below), whose sum is σ = 1217711767149. Its totient is φ = 1192524257664.

The previous prime is 1205052866951. The next prime is 1205052867077. The reversal of 1205052867001 is 1007682505021.

The square root of 1205052867001 is 1097749.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 345390114601 + 859662752400 = 587699^2 + 927180^2 .

It is not a de Polignac number, because 1205052867001 - 2⁷ = 1205052866873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1205052867101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 106475995 + ... + 106487311.

It is an arithmetic number, because the mean of its divisors is an integer number (135301307461).

Almost surely, 2^{1205052867001} is an apocalyptic number.

1205052867001 is the 1097749-th square number.

1205052867001 is the 548875-th centered octagonal number.

It is an amenable number.

1205052867001 is a deficient number, since it is larger than the sum of its proper divisors (12658900148).

1205052867001 is an frugal number, since it uses more digits than its factorization.

1205052867001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22828 (or 11414 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 1205052867001 in words is "one trillion, two hundred five billion, fifty-two million, eight hundred sixty-seven thousand, one".