2598540101 has 2 divisors, whose sum is σ = 2598540102. Its totient is φ = 2598540100.

The previous prime is 2598540079. The next prime is 2598540103. The reversal of 2598540101 is 1010458952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2595393025 + 3147076 = 50945^2 + 1774^2 .

It is a cyclic number.

It is not a de Polignac number, because 2598540101 - 2¹⁰ = 2598539077 is a prime.

Together with 2598540103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2598540103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1299270050 + 1299270051.

It is an arithmetic number, because the mean of its divisors is an integer number (1299270051).

Almost surely, 2^2598540101 is an apocalyptic number.

It is an amenable number.

2598540101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2598540101 is an equidigital number, since it uses as much as digits as its factorization.

2598540101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 2598540101 is about 50975.8776383497. The cubic root of 2598540101 is about 1374.8114520086.

The spelling of 2598540101 in words is "two billion, five hundred ninety-eight million, five hundred forty thousand, one hundred one".