1825638427741 has 32 divisors (see below), whose sum is σ = 1996644096000. Its totient is φ = 1663423039872.

The previous prime is 1825638427633. The next prime is 1825638427759. The reversal of 1825638427741 is 1477248365281.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1825638427741 - 2²¹ = 1825636330589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825638427841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186875905 + ... + 186885673.

It is an arithmetic number, because the mean of its divisors is an integer number (62395128000).

Almost surely, 2^{1825638427741} is an apocalyptic number.

It is an amenable number.

1825638427741 is a deficient number, since it is larger than the sum of its proper divisors (171005668259).

1825638427741 is a wasteful number, since it uses less digits than its factorization.

1825638427741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441.

The product of its digits is 18063360, while the sum is 58.

The spelling of 1825638427741 in words is "one trillion, eight hundred twenty-five billion, six hundred thirty-eight million, four hundred twenty-seven thousand, seven hundred forty-one".