1607131241535 has 128 divisors (see below), whose sum is σ = 2774974464000. Its totient is φ = 791415152640.

The previous prime is 1607131241477. The next prime is 1607131241549. The reversal of 1607131241535 is 5351421317061.

It is not a de Polignac number, because 1607131241535 - 2¹⁷ = 1607131110463 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1607131241493 and 1607131241502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1307673301 + ... + 1307674529.

It is an arithmetic number, because the mean of its divisors is an integer number (21679488000).

Almost surely, 2^{1607131241535} is an apocalyptic number.

1607131241535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1607131241535 is a deficient number, since it is larger than the sum of its proper divisors (1167843222465).

1607131241535 is a wasteful number, since it uses less digits than its factorization.

1607131241535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801.

The product of its (nonzero) digits is 75600, while the sum is 39.

Adding to 1607131241535 its reverse (5351421317061), we get a palindrome (6958552558596).

The spelling of 1607131241535 in words is "one trillion, six hundred seven billion, one hundred thirty-one million, two hundred forty-one thousand, five hundred thirty-five".