1001501541001 has 16 divisors (see below), whose sum is σ = 1142205974784. Its totient is φ = 869913402624.

The previous prime is 1001501540987. The next prime is 1001501541083. The reversal of 1001501541001 is 1001451051001.

It is a cyclic number.

It is not a de Polignac number, because 1001501541001 - 2⁹ = 1001501540489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001501541001.

It is not an unprimeable number, because it can be changed into a prime (1001501541091) 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, 703386 + ... + 1580428.

It is an arithmetic number, because the mean of its divisors is an integer number (71387873424).

Almost surely, 2^{1001501541001} is an apocalyptic number.

It is an amenable number.

1001501541001 is a deficient number, since it is larger than the sum of its proper divisors (140704433783).

1001501541001 is a wasteful number, since it uses less digits than its factorization.

1001501541001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882240.

The product of its (nonzero) digits is 100, while the sum is 19.

Adding to 1001501541001 its reverse (1001451051001), we get a palindrome (2002952592002).

The spelling of 1001501541001 in words is "one trillion, one billion, five hundred one million, five hundred forty-one thousand, one".