1205509101 has 16 divisors (see below), whose sum is σ = 1648308480. Its totient is φ = 783233280.

The previous prime is 1205509061. The next prime is 1205509133. The reversal of 1205509101 is 1019055021.

It is not a de Polignac number, because 1205509101 - 2¹¹ = 1205507053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205509141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123081 + ... + 132513.

It is an arithmetic number, because the mean of its divisors is an integer number (103019280).

Almost surely, 2^1205509101 is an apocalyptic number.

It is an amenable number.

1205509101 is a deficient number, since it is larger than the sum of its proper divisors (442799379).

1205509101 is a wasteful number, since it uses less digits than its factorization.

1205509101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516.

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 1205509101 is about 34720.4421198809. The cubic root of 1205509101 is about 1064.2822795456.

The spelling of 1205509101 in words is "one billion, two hundred five million, five hundred nine thousand, one hundred one".