71081253000 has 256 divisors, whose sum is σ = 250597152000. Its totient is φ = 18633312000.

The previous prime is 71081252947. The next prime is 71081253011. The reversal of 71081253000 is 35218017.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1570690 + ... + 1615310.

It is an arithmetic number, because the mean of its divisors is an integer number (978895125).

Almost surely, 2^71081253000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71081253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125298576000).

71081253000 is an abundant number, since it is smaller than the sum of its proper divisors (179515899000).

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

71081253000 is a wasteful number, since it uses less digits than its factorization.

71081253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44710 (or 44690 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 71081253000 in words is "seventy-one billion, eighty-one million, two hundred fifty-three thousand".