1085636601 has 45 divisors (see below), whose sum is σ = 1890143541. Its totient is φ = 619177608.

The previous prime is 1085636599. The next prime is 1085636627. The reversal of 1085636601 is 1066365801.

It is a happy number.

The square root of 1085636601 is 32949.

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

1085636601 is a `hidden beast` number, since 10 + 8 + 5 + 6 + 36 + 601 = 666.

It is not a de Polignac number, because 1085636601 - 2¹ = 1085636599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1085636641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2075526 + ... + 2076048.

Almost surely, 2^1085636601 is an apocalyptic number.

1085636601 is the 32949-th square number.

1085636601 is the 16475-th centered octagonal number.

It is an amenable number.

1085636601 is a deficient number, since it is larger than the sum of its proper divisors (804506940).

1085636601 is an frugal number, since it uses more digits than its factorization.

1085636601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 1085636601 is about 1027.7673703479.

Multiplying 1085636601 by its sum of digits (36), we get a square (39082917636 = 197694²).

The spelling of 1085636601 in words is "one billion, eighty-five million, six hundred thirty-six thousand, six hundred one".