71180513217153 has 20 divisors (see below), whose sum is σ = 107918419531120. Its totient is φ = 46745411661432.

The previous prime is 71180513217083. The next prime is 71180513217169. The reversal of 71180513217153 is 35171231508117.

It is a happy number.

71180513217153 is a `hidden beast` number, since 7 + 1 + 1 + 80 + 513 + 2 + 1 + 7 + 1 + 53 = 666.

It is not a de Polignac number, because 71180513217153 - 2¹⁶ = 71180513151617 is a prime.

It is a super-2 number, since 2×71180513217153² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71180513217099 and 71180513217108.

It is not an unprimeable number, because it can be changed into a prime (71180513217173) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6557992843 + ... + 6558003696.

It is an arithmetic number, because the mean of its divisors is an integer number (5395920976556).

Almost surely, 2^{71180513217153} is an apocalyptic number.

It is an amenable number.

71180513217153 is a deficient number, since it is larger than the sum of its proper divisors (36737906313967).

71180513217153 is a wasteful number, since it uses less digits than its factorization.

71180513217153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13115996618 (or 13115996609 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 71180513217153 in words is "seventy-one trillion, one hundred eighty billion, five hundred thirteen million, two hundred seventeen thousand, one hundred fifty-three".