10135044413505 has 160 divisors (see below), whose sum is σ = 21071591735040. Its totient is φ = 4611622878720.

The previous prime is 10135044413489. The next prime is 10135044413519. The reversal of 10135044413505 is 50531444053101.

10135044413505 is a `hidden beast` number, since 1 + 0 + 13 + 504 + 4 + 4 + 135 + 0 + 5 = 666.

It is not a de Polignac number, because 10135044413505 - 2⁴ = 10135044413489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10135044413505.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4497511 + ... + 6363779.

It is an arithmetic number, because the mean of its divisors is an integer number (131697448344).

Almost surely, 2^{10135044413505} is an apocalyptic number.

10135044413505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10135044413505 is an abundant number, since it is smaller than the sum of its proper divisors (10936547321535).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10135044413505 is a wasteful number, since it uses less digits than its factorization.

10135044413505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866373 (or 1866364 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10135044413505 its reverse (50531444053101), we get a palindrome (60666488466606).

The spelling of 10135044413505 in words is "ten trillion, one hundred thirty-five billion, forty-four million, four hundred thirteen thousand, five hundred five".