250038413635609 has 81 divisors (see below), whose sum is σ = 266668479982359. Its totient is φ = 234441447102720.

The previous prime is 250038413635589. The next prime is 250038413635651. The reversal of 250038413635609 is 906536314830052.

The square root of 250038413635609 is 15812603.

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

It can be written as a sum of positive squares in 13 ways, for example, as 197134320445209 + 52904093190400 = 14040453^2 + 7273520^2 .

It is not a de Polignac number, because 250038413635609 - 2²¹ = 250038411538457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 250038413635609.

It is not an unprimeable number, because it can be changed into a prime (250038413635669) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3425183748397 + ... + 3425183748469.

Almost surely, 2^{250038413635609} is an apocalyptic number.

250038413635609 is the 15812603-rd square number.

250038413635609 is the 7906302-nd centered octagonal number.

It is an amenable number.

250038413635609 is a deficient number, since it is larger than the sum of its proper divisors (16630066346750).

250038413635609 is an frugal number, since it uses more digits than its factorization.

250038413635609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 55.

The spelling of 250038413635609 in words is "two hundred fifty trillion, thirty-eight billion, four hundred thirteen million, six hundred thirty-five thousand, six hundred nine".