1213065090 has 96 divisors (see below), whose sum is σ = 3385555056. Its totient is φ = 300257280.

The previous prime is 1213065079. The next prime is 1213065097. The reversal of 1213065090 is 905603121.

1213065090 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 650 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 675428121 + 537636969 = 25989^2 + 23187^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1213065097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106260 + ... + 117120.

Almost surely, 2^1213065090 is an apocalyptic number.

1213065090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213065090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692777528).

1213065090 is an abundant number, since it is smaller than the sum of its proper divisors (2172489966).

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

1213065090 is a wasteful number, since it uses less digits than its factorization.

1213065090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10964 (or 10961 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1213065090 is about 34829.0839672823. The cubic root of 1213065090 is about 1066.5012485454.

The spelling of 1213065090 in words is "one billion, two hundred thirteen million, sixty-five thousand, ninety".