35135013142053 has 16 divisors (see below), whose sum is σ = 56783859624000. Its totient is φ = 21293947358640.

The previous prime is 35135013142051. The next prime is 35135013142063. The reversal of 35135013142053 is 35024131053153.

35135013142053 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 50 + 131 + 420 + 53 = 666.

It is not a de Polignac number, because 35135013142053 - 2¹ = 35135013142051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35135013141999 and 35135013142017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35135013142051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59149853478 + ... + 59149854071.

It is an arithmetic number, because the mean of its divisors is an integer number (3548991226500).

Almost surely, 2^{35135013142053} is an apocalyptic number.

35135013142053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35135013142053 is a deficient number, since it is larger than the sum of its proper divisors (21648846481947).

35135013142053 is a wasteful number, since it uses less digits than its factorization.

35135013142053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118299707569 (or 118299707563 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 35135013142053 in words is "thirty-five trillion, one hundred thirty-five billion, thirteen million, one hundred forty-two thousand, fifty-three".