363610206001 has 9 divisors (see below), whose sum is σ = 422980047801. Its totient is φ = 311662272852.

The previous prime is 363610205977. The next prime is 363610206013. The reversal of 363610206001 is 100602016363.

The square root of 363610206001 is 603001.

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

It is not a de Polignac number, because 363610206001 - 2¹³ = 363610197809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363610206031) 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, 4177936 + ... + 4264078.

It is an arithmetic number, because the mean of its divisors is an integer number (46997783089).

Almost surely, 2^363610206001 is an apocalyptic number.

363610206001 is the 603001-st square number.

363610206001 is the 301501-st centered octagonal number.

It is an amenable number.

363610206001 is a deficient number, since it is larger than the sum of its proper divisors (59369841800).

363610206001 is an frugal number, since it uses more digits than its factorization.

363610206001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172300 (or 86150 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 363610206001 in words is "three hundred sixty-three billion, six hundred ten million, two hundred six thousand, one".