85013010062500 has 189 divisors, whose sum is σ = 201439850579877. Its totient is φ = 31378354800000.

The previous prime is 85013010062473. The next prime is 85013010062537. The reversal of 85013010062500 is 526001031058.

The square root of 85013010062500 is 9220250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 31 ways, for example, as 29521118355556 + 55491891706944 = 5433334^2 + 7449288^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 29965811082 + ... + 29965813918.

Almost surely, 2^{85013010062500} is an apocalyptic number.

85013010062500 is the 9220250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85013010062500

85013010062500 is an abundant number, since it is smaller than the sum of its proper divisors (116426840517377).

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

85013010062500 is an frugal number, since it uses more digits than its factorization.

85013010062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 85013010062500 its reverse (526001031058), we get a palindrome (85539011093558).

The spelling of 85013010062500 in words is "eighty-five trillion, thirteen billion, ten million, sixty-two thousand, five hundred".