34513656005131 has 4 divisors (see below), whose sum is σ = 35626999747264. Its totient is φ = 33400312263000.

The previous prime is 34513656005099. The next prime is 34513656005137. The reversal of 34513656005131 is 13150065631543.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 34513656005131 - 2⁵ = 34513656005099 is a prime.

It is a super-3 number, since 3×34513656005131³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34513656005137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 556671871020 + ... + 556671871081.

It is an arithmetic number, because the mean of its divisors is an integer number (8906749936816).

Almost surely, 2^{34513656005131} is an apocalyptic number.

34513656005131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34513656005131 is a deficient number, since it is larger than the sum of its proper divisors (1113343742133).

34513656005131 is a wasteful number, since it uses less digits than its factorization.

34513656005131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113343742132.

The product of its (nonzero) digits is 486000, while the sum is 43.

The spelling of 34513656005131 in words is "thirty-four trillion, five hundred thirteen billion, six hundred fifty-six million, five thousand, one hundred thirty-one".