2057236570249 has 45 divisors (see below), whose sum is σ = 2546270981667. Its totient is φ = 1657278628992.

The previous prime is 2057236570241. The next prime is 2057236570267. The reversal of 2057236570249 is 9420756327502.

It is a happy number.

The square root of 2057236570249 is 1434307.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 667337046649 + 1389899523600 = 816907^2 + 1178940^2 .

It is not a de Polignac number, because 2057236570249 - 2³ = 2057236570241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2057236570196 and 2057236570205.

It is not an unprimeable number, because it can be changed into a prime (2057236570241) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2901602707 + ... + 2901603415.

Almost surely, 2^{2057236570249} is an apocalyptic number.

2057236570249 is the 1434307-th square number.

2057236570249 is the 717154-th centered octagonal number.

It is an amenable number.

2057236570249 is a deficient number, since it is larger than the sum of its proper divisors (489034411418).

2057236570249 is an frugal number, since it uses more digits than its factorization.

2057236570249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 2057236570249 in words is "two trillion, fifty-seven billion, two hundred thirty-six million, five hundred seventy thousand, two hundred forty-nine".