361548461521 has 27 divisors (see below), whose sum is σ = 409464613467. Its totient is φ = 319067994960.

The previous prime is 361548461509. The next prime is 361548461557. The reversal of 361548461521 is 125164845163.

The square root of 361548461521 is 601289.

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., 53483500225 + 308064961296 = 231265^2 + 555036^2 .

It is not a de Polignac number, because 361548461521 - 2⁵ = 361548461489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (361548461821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179784406 + ... + 179786416.

Almost surely, 2^361548461521 is an apocalyptic number.

361548461521 is the 601289-th square number.

361548461521 is the 300645-th centered octagonal number.

It is an amenable number.

361548461521 is a deficient number, since it is larger than the sum of its proper divisors (47916151946).

361548461521 is an frugal number, since it uses more digits than its factorization.

361548461521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 2047 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The spelling of 361548461521 in words is "three hundred sixty-one billion, five hundred forty-eight million, four hundred sixty-one thousand, five hundred twenty-one".