2509101 has 12 divisors (see below), whose sum is σ = 4142112. Its totient is φ = 1433736.

The previous prime is 2509079. The next prime is 2509103. The reversal of 2509101 is 1019052.

It is not a de Polignac number, because 2509101 - 2⁶ = 2509037 is a prime.

It is a Curzon number.

2509101 is a lucky number.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19851 + ... + 19976.

It is an arithmetic number, because the mean of its divisors is an integer number (345176).

2^2509101 is an apocalyptic number.

2509101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2509101 is a deficient number, since it is larger than the sum of its proper divisors (1633011).

2509101 is a wasteful number, since it uses less digits than its factorization.

2509101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39840 (or 39837 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 2509101 is about 1584.0142044818. The cubic root of 2509101 is about 135.8853741486.

The spelling of 2509101 in words is "two million, five hundred nine thousand, one hundred one".