71517005010 has 96 divisors (see below), whose sum is σ = 202986725760. Its totient is φ = 17325619200.

The previous prime is 71517005003. The next prime is 71517005051. The reversal of 71517005010 is 1050071517.

71517005010 is a `hidden beast` number, since 7 + 151 + 7 + 0 + 0 + 501 + 0 = 666.

It is a super-2 number, since 2×71517005010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1471986 + ... + 1519794.

It is an arithmetic number, because the mean of its divisors is an integer number (2114445060).

Almost surely, 2^71517005010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71517005010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101493362880).

71517005010 is an abundant number, since it is smaller than the sum of its proper divisors (131469720750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71517005010 is a wasteful number, since it uses less digits than its factorization.

71517005010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49344 (or 49341 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 27.

Adding to 71517005010 its reverse (1050071517), we get a palindrome (72567076527).

The spelling of 71517005010 in words is "seventy-one billion, five hundred seventeen million, five thousand, ten".