52300421001409 has 81 divisors (see below), whose sum is σ = 62955045395739. Its totient is φ = 43321991731200.

The previous prime is 52300421001359. The next prime is 52300421001473. The reversal of 52300421001409 is 90410012400325.

The square root of 52300421001409 is 7231903.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2986319241409 + 49314101760000 = 1728097^2 + 7022400^2 .

It is not a de Polignac number, because 52300421001409 - 2¹³ = 52300420993217 is a prime.

It is a super-3 number, since 3×52300421001409³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (52300421001509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 270986637217 + ... + 270986637409.

Almost surely, 2^{52300421001409} is an apocalyptic number.

52300421001409 is the 7231903-rd square number.

52300421001409 is the 3615952-nd centered octagonal number.

It is an amenable number.

52300421001409 is a deficient number, since it is larger than the sum of its proper divisors (10654624394330).

52300421001409 is an frugal number, since it uses more digits than its factorization.

52300421001409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 52300421001409 in words is "fifty-two trillion, three hundred billion, four hundred twenty-one million, one thousand, four hundred nine".