985252774801 has 27 divisors (see below), whose sum is σ = 1025250259761. Its totient is φ = 946796511744.

The previous prime is 985252774687. The next prime is 985252774861. The reversal of 985252774801 is 108477252589.

The square root of 985252774801 is 992599.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33106166401 + 952146608400 = 181951^2 + 975780^2 .

It is a de Polignac number, because none of the positive numbers 2^k-985252774801 is a prime.

It is a super-3 number, since 3×985252774801³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (985252774861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5104936561 + ... + 5104936753.

It is an arithmetic number, because the mean of its divisors is an integer number (37972231843).

Almost surely, 2^985252774801 is an apocalyptic number.

985252774801 is the 992599-th square number.

985252774801 is the 496300-th centered octagonal number.

It is an amenable number.

985252774801 is a deficient number, since it is larger than the sum of its proper divisors (39997484960).

985252774801 is an frugal number, since it uses more digits than its factorization.

985252774801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 58.

The spelling of 985252774801 in words is "nine hundred eighty-five billion, two hundred fifty-two million, seven hundred seventy-four thousand, eight hundred one".