1538617641 has 16 divisors (see below), whose sum is σ = 2269513728. Its totient is φ = 919360400.

The previous prime is 1538617631. The next prime is 1538617687. The reversal of 1538617641 is 1467168351.

It is a cyclic number.

It is not a de Polignac number, because 1538617641 - 2⁵ = 1538617609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1538617593 and 1538617602.

It is not an unprimeable number, because it can be changed into a prime (1538617601) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 326001 + ... + 330686.

It is an arithmetic number, because the mean of its divisors is an integer number (141844608).

Almost surely, 2^1538617641 is an apocalyptic number.

1538617641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1538617641 is a deficient number, since it is larger than the sum of its proper divisors (730896087).

1538617641 is a wasteful number, since it uses less digits than its factorization.

1538617641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656772.

The product of its digits is 120960, while the sum is 42.

The square root of 1538617641 is about 39225.2169018860. The cubic root of 1538617641 is about 1154.4547168408.

The spelling of 1538617641 in words is "one billion, five hundred thirty-eight million, six hundred seventeen thousand, six hundred forty-one".