1085001300 has 54 divisors (see below), whose sum is σ = 3400879118. Its totient is φ = 289333440.

The previous prime is 1085001257. The next prime is 1085001329. The reversal of 1085001300 is 31005801.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 82519056 + 1002482244 = 9084^2 + 31662^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 601879 + ... + 603678.

Almost surely, 2^1085001300 is an apocalyptic number.

1085001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085001300 is an abundant number, since it is smaller than the sum of its proper divisors (2315877818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1085001300 is a wasteful number, since it uses less digits than its factorization.

1085001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205577 (or 1205567 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1085001300 is about 32939.3579172394. The cubic root of 1085001300 is about 1027.5668523466.

The spelling of 1085001300 in words is "one billion, eighty-five million, one thousand, three hundred".