52600046409 has 45 divisors (see below), whose sum is σ = 83525066647. Its totient is φ = 32981933376.

The previous prime is 52600046377. The next prime is 52600046441. The reversal of 52600046409 is 90464000625.

The square root of 52600046409 is 229347.

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

52600046409 is a `hidden beast` number, since 5 + 2 + 6 + 0 + 0 + 0 + 4 + 640 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (52600046377) and next prime (52600046441).

It can be written as a sum of positive squares in only one way, i.e., 40951593225 + 11648453184 = 202365^2 + 107928^2 .

It is not a de Polignac number, because 52600046409 - 2⁵ = 52600046377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52600046809) 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 44 ways as a sum of consecutive naturals, for example, 35089342 + ... + 35090840.

Almost surely, 2^52600046409 is an apocalyptic number.

52600046409 is the 229347-th square number.

52600046409 is the 114674-th centered octagonal number.

It is an amenable number.

52600046409 is a deficient number, since it is larger than the sum of its proper divisors (30925020238).

52600046409 is an frugal number, since it uses more digits than its factorization.

52600046409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 52600046409 by its sum of digits (36), we get a square (1893601670724 = 1376082²).

The spelling of 52600046409 in words is "fifty-two billion, six hundred million, forty-six thousand, four hundred nine".