2653537 has 2 divisors, whose sum is σ = 2653538. Its totient is φ = 2653536.

The previous prime is 2653517. The next prime is 2653543. The reversal of 2653537 is 7353562.

2653537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1661521 + 992016 = 1289^2 + 996^2 .

It is a cyclic number.

It is not a de Polignac number, because 2653537 - 2¹¹ = 2651489 is a prime.

It is a super-2 number, since 2×2653537² = 14082517220738, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2²⁰ + 6 + 5⁸ + 3⁴ + 5⁸ + 3⁴ + 7⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2653499 and 2653508.

It is not a weakly prime, because it can be changed into another prime (2653517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1326768 + 1326769.

It is an arithmetic number, because the mean of its divisors is an integer number (1326769).

2^2653537 is an apocalyptic number.

It is an amenable number.

2653537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2653537 is an equidigital number, since it uses as much as digits as its factorization.

2653537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 31.

The square root of 2653537 is about 1628.9680782630. The cubic root of 2653537 is about 138.4442902620. Note that the first 3 decimals are identical.

The spelling of 2653537 in words is "two million, six hundred fifty-three thousand, five hundred thirty-seven".