1457325313 has 16 divisors (see below), whose sum is σ = 1528520400. Its totient is φ = 1387653120.

The previous prime is 1457325299. The next prime is 1457325329. The reversal of 1457325313 is 3135237541.

It can be written as a sum of positive squares in 8 ways, for example, as 280629504 + 1176695809 = 16752^2 + 34303^2 .

It is a cyclic number.

It is not a de Polignac number, because 1457325313 - 2²¹ = 1455228161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1457325383) 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 15 ways as a sum of consecutive naturals, for example, 760845 + ... + 762757.

It is an arithmetic number, because the mean of its divisors is an integer number (95532525).

Almost surely, 2^1457325313 is an apocalyptic number.

It is an amenable number.

1457325313 is a deficient number, since it is larger than the sum of its proper divisors (71195087).

1457325313 is a wasteful number, since it uses less digits than its factorization.

1457325313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292.

The product of its digits is 37800, while the sum is 34.

The square root of 1457325313 is about 38174.9304256079. The cubic root of 1457325313 is about 1133.7540100274.

The spelling of 1457325313 in words is "one billion, four hundred fifty-seven million, three hundred twenty-five thousand, three hundred thirteen".