10135735505815 has 32 divisors (see below), whose sum is σ = 12908104906752. Its totient is φ = 7628206320000.

The previous prime is 10135735505809. The next prime is 10135735505843. The reversal of 10135735505815 is 51850553753101.

It is not a de Polignac number, because 10135735505815 - 2³ = 10135735505807 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2197336 + ... + 5009965.

It is an arithmetic number, because the mean of its divisors is an integer number (403378278336).

Almost surely, 2^{10135735505815} is an apocalyptic number.

10135735505815 is a deficient number, since it is larger than the sum of its proper divisors (2772369400937).

10135735505815 is a wasteful number, since it uses less digits than its factorization.

10135735505815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7207591.

The product of its (nonzero) digits is 1575000, while the sum is 49.

The spelling of 10135735505815 in words is "ten trillion, one hundred thirty-five billion, seven hundred thirty-five million, five hundred five thousand, eight hundred fifteen".