1001432624413 has 16 divisors (see below), whose sum is σ = 1083062030512. Its totient is φ = 920460672000.

The previous prime is 1001432624359. The next prime is 1001432624449. The reversal of 1001432624413 is 3144262341001.

It can be written as a sum of positive squares in 8 ways, for example, as 8035688164 + 993396936249 = 89642^2 + 996693^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001432624413 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 (1001432624713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55072183 + ... + 55090363.

It is an arithmetic number, because the mean of its divisors is an integer number (67691376907).

Almost surely, 2^{1001432624413} is an apocalyptic number.

1001432624413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001432624413 is a deficient number, since it is larger than the sum of its proper divisors (81629406099).

1001432624413 is a wasteful number, since it uses less digits than its factorization.

1001432624413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36016.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 1001432624413 its reverse (3144262341001), we get a palindrome (4145694965414).

The spelling of 1001432624413 in words is "one trillion, one billion, four hundred thirty-two million, six hundred twenty-four thousand, four hundred thirteen".