361266049 has 9 divisors (see below), whose sum is σ = 367274883. Its totient is φ = 355354872.

The previous prime is 361266043. The next prime is 361266053. The reversal of 361266049 is 940662163.

It is a happy number.

The square root of 361266049 is 19007.

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., 336465649 + 24800400 = 18343^2 + 4980^2 .

It is not a de Polignac number, because 361266049 - 2¹³ = 361257857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 361265999 and 361266017.

It is not an unprimeable number, because it can be changed into a prime (361266043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1577467 + ... + 1577695.

Almost surely, 2^361266049 is an apocalyptic number.

361266049 is the 19007-th square number.

361266049 is the 9504-th centered octagonal number.

It is an amenable number.

361266049 is a deficient number, since it is larger than the sum of its proper divisors (6008834).

361266049 is an frugal number, since it uses more digits than its factorization.

361266049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The cubic root of 361266049 is about 712.2116113692.

Multiplying 361266049 by its product of nonzero digits (46656), we get a square (16855228782144 = 4105512²).

The spelling of 361266049 in words is "three hundred sixty-one million, two hundred sixty-six thousand, forty-nine".