135552511305 has 24 divisors (see below), whose sum is σ = 242536968960. Its totient is φ = 69962585760.

The previous prime is 135552511249. The next prime is 135552511331. The reversal of 135552511305 is 503115255531.

135552511305 is a `hidden beast` number, since 13 + 5 + 5 + 525 + 113 + 0 + 5 = 666.

It is not a de Polignac number, because 135552511305 - 2¹³ = 135552503113 is a prime.

It is a super-3 number, since 3×135552511305³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135552511305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48583735 + ... + 48586524.

It is an arithmetic number, because the mean of its divisors is an integer number (10105707040).

Almost surely, 2^135552511305 is an apocalyptic number.

135552511305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135552511305 is a deficient number, since it is larger than the sum of its proper divisors (106984457655).

135552511305 is a wasteful number, since it uses less digits than its factorization.

135552511305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97170301 (or 97170298 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

Adding to 135552511305 its reverse (503115255531), we get a palindrome (638667766836).

The spelling of 135552511305 in words is "one hundred thirty-five billion, five hundred fifty-two million, five hundred eleven thousand, three hundred five".