2562601 has 2 divisors, whose sum is σ = 2562602. Its totient is φ = 2562600.

The previous prime is 2562589. The next prime is 2562611. The reversal of 2562601 is 1062652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2560000 + 2601 = 1600^2 + 51^2 .

It is a cyclic number.

It is not a de Polignac number, because 2562601 - 2¹⁹ = 2038313 is a prime.

It is an Ulam number.

2562601 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (2562611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281300 + 1281301.

It is an arithmetic number, because the mean of its divisors is an integer number (1281301).

2^2562601 is an apocalyptic number.

It is an amenable number.

2562601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2562601 is an equidigital number, since it uses as much as digits as its factorization.

2562601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2562601 is about 1600.8126061473. The cubic root of 2562601 is about 136.8443897132.

It can be divided in two parts, 256 and 2601, that multiplied together give a square (665856 = 816²).

The spelling of 2562601 in words is "two million, five hundred sixty-two thousand, six hundred one".