2567653221 has 32 divisors (see below), whose sum is σ = 4024084480. Its totient is φ = 1425542976.

The previous prime is 2567653201. The next prime is 2567653267. The reversal of 2567653221 is 1223567652.

It is a happy number.

It is not a de Polignac number, because 2567653221 - 2⁵ = 2567653189 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2567653221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567653201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665520 + ... + 669366.

It is an arithmetic number, because the mean of its divisors is an integer number (125752640).

Almost surely, 2^2567653221 is an apocalyptic number.

2567653221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2567653221 is a deficient number, since it is larger than the sum of its proper divisors (1456431259).

2567653221 is a wasteful number, since it uses less digits than its factorization.

2567653221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753.

The product of its digits is 151200, while the sum is 39.

The square root of 2567653221 is about 50672.0161529024. The cubic root of 2567653221 is about 1369.3426119506.

The spelling of 2567653221 in words is "two billion, five hundred sixty-seven million, six hundred fifty-three thousand, two hundred twenty-one".