361001938002601 has 9 divisors (see below), whose sum is σ = 419941184636151. Its totient is φ = 309430118573352.

The previous prime is 361001938002593. The next prime is 361001938002701. The reversal of 361001938002601 is 106200839100163.

The square root of 361001938002601 is 19000051.

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

It can be written as a sum of positive squares in only one way, i.e., 57521985705625 + 303479952296976 = 7584325^2 + 17420676^2 .

It is not a de Polignac number, because 361001938002601 - 2³ = 361001938002593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (361001938002001) 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, 131643211 + ... + 134357503.

It is an arithmetic number, because the mean of its divisors is an integer number (46660131626239).

Almost surely, 2^{361001938002601} is an apocalyptic number.

361001938002601 is the 19000051-st square number.

361001938002601 is the 9500026-th centered octagonal number.

It is an amenable number.

361001938002601 is a deficient number, since it is larger than the sum of its proper divisors (58939246633550).

361001938002601 is an frugal number, since it uses more digits than its factorization.

361001938002601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428600 (or 2714300 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 361001938002601 in words is "three hundred sixty-one trillion, one billion, nine hundred thirty-eight million, two thousand, six hundred one".