34100514501007 has 2 divisors, whose sum is σ = 34100514501008. Its totient is φ = 34100514501006.

The previous prime is 34100514500971. The next prime is 34100514501013. The reversal of 34100514501007 is 70010541500143.

It is a strong prime.

It is an emirp because it is prime and its reverse (70010541500143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34100514501007 - 2²⁷ = 34100380283279 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34100514501007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34100514501047) 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 as a sum of consecutive naturals, namely, 17050257250503 + 17050257250504.

It is an arithmetic number, because the mean of its divisors is an integer number (17050257250504).

Almost surely, 2^{34100514501007} is an apocalyptic number.

34100514501007 is a deficient number, since it is larger than the sum of its proper divisors (1).

34100514501007 is an equidigital number, since it uses as much as digits as its factorization.

34100514501007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 34100514501007 in words is "thirty-four trillion, one hundred billion, five hundred fourteen million, five hundred one thousand, seven".