71607606854251 has 32 divisors (see below), whose sum is σ = 79201736171712. Its totient is φ = 64323280949760.

The previous prime is 71607606854171. The next prime is 71607606854257. The reversal of 71607606854251 is 15245860670617.

It is a cyclic number.

It is not a de Polignac number, because 71607606854251 - 2⁷ = 71607606854123 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71607606854257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168064681 + ... + 168490213.

It is an arithmetic number, because the mean of its divisors is an integer number (2475054255366).

Almost surely, 2^{71607606854251} is an apocalyptic number.

71607606854251 is a deficient number, since it is larger than the sum of its proper divisors (7594129317461).

71607606854251 is a wasteful number, since it uses less digits than its factorization.

71607606854251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426703.

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 71607606854251 in words is "seventy-one trillion, six hundred seven billion, six hundred six million, eight hundred fifty-four thousand, two hundred fifty-one".