1948825413 has 40 divisors (see below), whose sum is σ = 3098849688. Its totient is φ = 1216290816.

The previous prime is 1948825387. The next prime is 1948825441. The reversal of 1948825413 is 3145288491.

It can be written as a sum of positive squares in 4 ways, for example, as 5602689 + 1943222724 = 2367^2 + 44082^2 .

It is not a de Polignac number, because 1948825413 - 2⁵ = 1948825381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948825493) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262095 + ... + 269427.

Almost surely, 2^1948825413 is an apocalyptic number.

It is an amenable number.

1948825413 is a deficient number, since it is larger than the sum of its proper divisors (1150024275).

1948825413 is a wasteful number, since it uses less digits than its factorization.

1948825413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7546 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1948825413 is about 44145.5027494308. The cubic root of 1948825413 is about 1249.0820808779.

The spelling of 1948825413 in words is "one billion, nine hundred forty-eight million, eight hundred twenty-five thousand, four hundred thirteen".