2257973253 has 28 divisors (see below), whose sum is σ = 3394136620. Its totient is φ = 1501436736.

The previous prime is 2257973209. The next prime is 2257973261. The reversal of 2257973253 is 3523797522.

2257973253 is a `hidden beast` number, since 2 + 2 + 579 + 73 + 2 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2191925124 + 66048129 = 46818^2 + 8127^2 .

It is not a de Polignac number, because 2257973253 - 2¹⁰ = 2257972229 is a prime.

It is a super-2 number, since 2×2257973253² = 10196886422526804018, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2257973199 and 2257973208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257973353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 294375 + ... + 301947.

It is an arithmetic number, because the mean of its divisors is an integer number (121219165).

Almost surely, 2^2257973253 is an apocalyptic number.

It is an amenable number.

2257973253 is a deficient number, since it is larger than the sum of its proper divisors (1136163367).

2257973253 is an frugal number, since it uses more digits than its factorization.

2257973253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7985 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 2257973253 is about 47518.1360429889. The cubic root of 2257973253 is about 1311.9167119214.

The spelling of 2257973253 in words is "two billion, two hundred fifty-seven million, nine hundred seventy-three thousand, two hundred fifty-three".