55035752409 has 27 divisors (see below), whose sum is σ = 87392289439. Its totient is φ = 33350309520.

The previous prime is 55035752407. The next prime is 55035752413. The reversal of 55035752409 is 90425753055.

The square root of 55035752409 is 234597.

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

55035752409 is a `hidden beast` number, since 5 + 50 + 3 + 575 + 24 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7885972809 + 47149779600 = 88803^2 + 217140^2 .

It is not a de Polignac number, because 55035752409 - 2¹ = 55035752407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55035752407) 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, 7738147 + ... + 7745255.

Almost surely, 2^55035752409 is an apocalyptic number.

55035752409 is the 234597-th square number.

55035752409 is the 117299-th centered octagonal number.

It is an amenable number.

55035752409 is a deficient number, since it is larger than the sum of its proper divisors (32356537030).

55035752409 is an frugal number, since it uses more digits than its factorization.

55035752409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14246 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 55035752409 in words is "fifty-five billion, thirty-five million, seven hundred fifty-two thousand, four hundred nine".