1085601125 has 36 divisors (see below), whose sum is σ = 1579779396. Its totient is φ = 742644000.

The previous prime is 1085601103. The next prime is 1085601137. The reversal of 1085601125 is 5211065801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1019780356 + 65820769 = 31934^2 + 8113^2 .

It is not a de Polignac number, because 1085601125 - 2¹⁰ = 1085600101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2578415 + ... + 2578835.

It is an arithmetic number, because the mean of its divisors is an integer number (43882761).

Almost surely, 2^1085601125 is an apocalyptic number.

It is an amenable number.

1085601125 is a deficient number, since it is larger than the sum of its proper divisors (494178271).

1085601125 is an frugal number, since it uses more digits than its factorization.

1085601125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 29.

The square root of 1085601125 is about 32948.4616484594. The cubic root of 1085601125 is about 1027.7561752351.

Adding to 1085601125 its reverse (5211065801), we get a palindrome (6296666926).

The spelling of 1085601125 in words is "one billion, eighty-five million, six hundred one thousand, one hundred twenty-five".