2042513825 has 12 divisors (see below), whose sum is σ = 2762964528. Its totient is φ = 1485464400.

The previous prime is 2042513797. The next prime is 2042513843. The reversal of 2042513825 is 5283152402.

It is not a de Polignac number, because 2042513825 - 2²⁰ = 2041465249 is a prime.

It is a super-2 number, since 2×2042513825² = 8343725450632261250, 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 = 2042513791 and 2042513800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3713387 + ... + 3713936.

It is an arithmetic number, because the mean of its divisors is an integer number (230247044).

Almost surely, 2^2042513825 is an apocalyptic number.

2042513825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2042513825 is a deficient number, since it is larger than the sum of its proper divisors (720450703).

2042513825 is a wasteful number, since it uses less digits than its factorization.

2042513825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427344 (or 7427339 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2042513825 is about 45194.1791052786. The cubic root of 2042513825 is about 1268.7858744012.

The spelling of 2042513825 in words is "two billion, forty-two million, five hundred thirteen thousand, eight hundred twenty-five".