82626927601 has 3 divisors (see below), whose sum is σ = 82627215051. Its totient is φ = 82626640152.

The previous prime is 82626927577. The next prime is 82626927623. The reversal of 82626927601 is 10672962628.

The square root of 82626927601 is 287449.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1059567601 + 81567360000 = 32551^2 + 285600^2 .

It is not a de Polignac number, because 82626927601 - 2¹³ = 82626919409 is a prime.

It is a super-3 number, since 3×82626927601³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82626927661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 143725 + ... + 431173.

It is an arithmetic number, because the mean of its divisors is an integer number (27542405017).

Almost surely, 2^82626927601 is an apocalyptic number.

82626927601 is the 287449-th square number.

82626927601 is the 143725-th centered octagonal number.

It is an amenable number.

82626927601 is a deficient number, since it is larger than the sum of its proper divisors (287450).

82626927601 is an frugal number, since it uses more digits than its factorization.

82626927601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574898 (or 287449 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 82626927601 by its sum of digits (49), we get a square (4048719452449 = 2012143²).

The spelling of 82626927601 in words is "eighty-two billion, six hundred twenty-six million, nine hundred twenty-seven thousand, six hundred one".