55623807409 has 9 divisors (see below), whose sum is σ = 58710188523. Its totient is φ = 52691993352.

The previous prime is 55623807329. The next prime is 55623807443. The reversal of 55623807409 is 90470832655.

The square root of 55623807409 is 235847.

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., 16668101025 + 38955706384 = 129105^2 + 197372^2 .

It is not a de Polignac number, because 55623807409 - 2²¹ = 55621710257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55623807469) 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 8 ways as a sum of consecutive naturals, for example, 4474887 + ... + 4487299.

Almost surely, 2^55623807409 is an apocalyptic number.

55623807409 is the 235847-th square number.

55623807409 is the 117924-th centered octagonal number.

It is an amenable number.

55623807409 is a deficient number, since it is larger than the sum of its proper divisors (3086381114).

55623807409 is an frugal number, since it uses more digits than its factorization.

55623807409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24864 (or 12432 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 55623807409 by its sum of digits (49), we get a square (2725566563041 = 1650929²).

The spelling of 55623807409 in words is "fifty-five billion, six hundred twenty-three million, eight hundred seven thousand, four hundred nine".