71510513256 has 1024 divisors, whose sum is σ = 271315968000. Its totient is φ = 16930529280.

The previous prime is 71510513177. The next prime is 71510513293. The reversal of 71510513256 is 65231501517.

It is a happy number.

71510513256 is a `hidden beast` number, since 7 + 1 + 510 + 5 + 132 + 5 + 6 = 666.

It is a super-2 number, since 2×71510513256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71510513256.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 979596036 + ... + 979596108.

It is an arithmetic number, because the mean of its divisors is an integer number (264957000).

Almost surely, 2^71510513256 is an apocalyptic number.

71510513256 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71510513256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135657984000).

71510513256 is an abundant number, since it is smaller than the sum of its proper divisors (199805454744).

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

71510513256 is a wasteful number, since it uses less digits than its factorization.

71510513256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 71510513256 in words is "seventy-one billion, five hundred ten million, five hundred thirteen thousand, two hundred fifty-six".