2509537 has 2 divisors, whose sum is σ = 2509538. Its totient is φ = 2509536.

The previous prime is 2509531. The next prime is 2509541. The reversal of 2509537 is 7359052.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 829921 = 1296^2 + 911^2 .

It is a cyclic number.

It is not a de Polignac number, because 2509537 - 2¹¹ = 2507489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2509499 and 2509508.

It is not a weakly prime, because it can be changed into another prime (2509531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254768 + 1254769.

It is an arithmetic number, because the mean of its divisors is an integer number (1254769).

2^2509537 is an apocalyptic number.

It is an amenable number.

2509537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2509537 is an equidigital number, since it uses as much as digits as its factorization.

2509537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 2509537 is about 1584.1518235321. The cubic root of 2509537 is about 135.8932445096.

The spelling of 2509537 in words is "two million, five hundred nine thousand, five hundred thirty-seven".