826373720601 has 135 divisors (see below), whose sum is σ = 1430135006937. Its totient is φ = 459470737440.

The previous prime is 826373720591. The next prime is 826373720609. The reversal of 826373720601 is 106027373628.

The square root of 826373720601 is 909051.

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

826373720601 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 7 + 37 + 2 + 0 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 409729290201 + 416644430400 = 640101^2 + 645480^2 .

It is not a de Polignac number, because 826373720601 - 2⁹ = 826373720089 is a prime.

It is a super-2 number, since 2×826373720601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (826373720609) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5069777346 + ... + 5069777508.

Almost surely, 2^826373720601 is an apocalyptic number.

826373720601 is the 909051-st square number.

826373720601 is the 454526-th centered octagonal number.

It is an amenable number.

826373720601 is a deficient number, since it is larger than the sum of its proper divisors (603761286336).

826373720601 is an equidigital number, since it uses as much as digits as its factorization.

826373720601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 826373720601 in words is "eight hundred twenty-six billion, three hundred seventy-three million, seven hundred twenty thousand, six hundred one".