1001061431535 has 64 divisors (see below), whose sum is σ = 1864466680320. Its totient is φ = 453518714880.

The previous prime is 1001061431507. The next prime is 1001061431551. The reversal of 1001061431535 is 5351341601001.

It is not a de Polignac number, because 1001061431535 - 2⁷ = 1001061431407 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 1958254 + ... + 2415963.

It is an arithmetic number, because the mean of its divisors is an integer number (29132291880).

Almost surely, 2^{1001061431535} is an apocalyptic number.

1001061431535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1001061431535 is a deficient number, since it is larger than the sum of its proper divisors (863405248785).

1001061431535 is a wasteful number, since it uses less digits than its factorization.

1001061431535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374328.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1001061431535 in words is "one trillion, one billion, sixty-one million, four hundred thirty-one thousand, five hundred thirty-five".