1535135055345 has 24 divisors (see below), whose sum is σ = 2711106441576. Its totient is φ = 803290795008.

The previous prime is 1535135055319. The next prime is 1535135055353. The reversal of 1535135055345 is 5435505315351.

1535135055345 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 1 + 3 + 50 + 553 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 276978006369 + 1258157048976 = 526287^2 + 1121676^2 .

It is not a de Polignac number, because 1535135055345 - 2⁷ = 1535135055217 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1535135055345.

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, 321828864 + ... + 321833633.

It is an arithmetic number, because the mean of its divisors is an integer number (112962768399).

Almost surely, 2^{1535135055345} is an apocalyptic number.

1535135055345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1535135055345 is a deficient number, since it is larger than the sum of its proper divisors (1175971386231).

1535135055345 is a wasteful number, since it uses less digits than its factorization.

1535135055345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643662561 (or 643662558 counting only the distinct ones).

The product of its (nonzero) digits is 1687500, while the sum is 45.

The spelling of 1535135055345 in words is "one trillion, five hundred thirty-five billion, one hundred thirty-five million, fifty-five thousand, three hundred forty-five".