4649582251521 has 27 divisors (see below), whose sum is σ = 6828547083267. Its totient is φ = 3048647639760.

The previous prime is 4649582251513. The next prime is 4649582251553. The reversal of 4649582251521 is 1251522859464.

It is a happy number.

The square root of 4649582251521 is 2156289.

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

4649582251521 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 582 + 2 + 5 + 1 + 52 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151195767921 + 4498386483600 = 388839^2 + 2120940^2 .

It is not a de Polignac number, because 4649582251521 - 2³ = 4649582251513 is a prime.

It is a super-2 number, since 2×4649582251521² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4649582251921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 394594996 + ... + 394606778.

Almost surely, 2^{4649582251521} is an apocalyptic number.

4649582251521 is the 2156289-th square number.

4649582251521 is the 1078145-th centered octagonal number.

It is an amenable number.

4649582251521 is a deficient number, since it is larger than the sum of its proper divisors (2178964831746).

4649582251521 is an frugal number, since it uses more digits than its factorization.

4649582251521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23694 (or 11847 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 4649582251521 in words is "four trillion, six hundred forty-nine billion, five hundred eighty-two million, two hundred fifty-one thousand, five hundred twenty-one".