2038251609 has 27 divisors (see below), whose sum is σ = 2993670589. Its totient is φ = 1336351200.

The previous prime is 2038251571. The next prime is 2038251623. The reversal of 2038251609 is 9061528302.

The square root of 2038251609 is 45147.

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

2038251609 is a `hidden beast` number, since 20 + 3 + 8 + 25 + 1 + 609 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45522009 + 1992729600 = 6747^2 + 44640^2 .

It is not a de Polignac number, because 2038251609 - 2⁹ = 2038251097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2038252609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13679467 + ... + 13679615.

Almost surely, 2^2038251609 is an apocalyptic number.

2038251609 is the 45147-th square number.

2038251609 is the 22574-th centered octagonal number.

It is an amenable number.

2038251609 is a deficient number, since it is larger than the sum of its proper divisors (955418980).

2038251609 is an equidigital number, since it uses as much as digits as its factorization.

2038251609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 2038251609 is about 1267.9027134391.

Multiplying 2038251609 by its sum of digits (36), we get a square (73377057924 = 270882²).

The spelling of 2038251609 in words is "two billion, thirty-eight million, two hundred fifty-one thousand, six hundred nine".