53082755505 has 144 divisors (see below), whose sum is σ = 103610398320. Its totient is φ = 25099296768.

The previous prime is 53082755497. The next prime is 53082755507. The reversal of 53082755505 is 50555728035.

It can be written as a sum of positive squares in 24 ways, for example, as 41923791009 + 11158964496 = 204753^2 + 105636^2 .

It is not a de Polignac number, because 53082755505 - 2³ = 53082755497 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53082755507) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51386469 + ... + 51387501.

It is an arithmetic number, because the mean of its divisors is an integer number (719516655).

Almost surely, 2^53082755505 is an apocalyptic number.

It is an amenable number.

53082755505 is a deficient number, since it is larger than the sum of its proper divisors (50527642815).

53082755505 is a wasteful number, since it uses less digits than its factorization.

53082755505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 53082755505 in words is "fifty-three billion, eighty-two million, seven hundred fifty-five thousand, five hundred five".