49359064561 has 27 divisors (see below), whose sum is σ = 52552987851. Its totient is φ = 46356894864.

The previous prime is 49359064493. The next prime is 49359064567. The reversal of 49359064561 is 16546095394.

It is a happy number.

The square root of 49359064561 is 222169.

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., 25882696161 + 23476368400 = 160881^2 + 153220^2 .

It is not a de Polignac number, because 49359064561 - 2¹⁵ = 49359031793 is a prime.

It is a super-2 number, since 2×49359064561² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 49359064499 and 49359064508.

It is not an unprimeable number, because it can be changed into a prime (49359064567) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 302816266 + ... + 302816428.

Almost surely, 2^49359064561 is an apocalyptic number.

49359064561 is the 222169-th square number.

49359064561 is the 111085-th centered octagonal number.

It is an amenable number.

49359064561 is a deficient number, since it is larger than the sum of its proper divisors (3193923290).

49359064561 is an frugal number, since it uses more digits than its factorization.

49359064561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The spelling of 49359064561 in words is "forty-nine billion, three hundred fifty-nine million, sixty-four thousand, five hundred sixty-one".