1006514022401 has 16 divisors (see below), whose sum is σ = 1047511695360. Its totient is φ = 966054554640.

The previous prime is 1006514022361. The next prime is 1006514022473. The reversal of 1006514022401 is 1042204156001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006514022401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006514024401) 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, 12238520 + ... + 12320486.

It is an arithmetic number, because the mean of its divisors is an integer number (65469480960).

Almost surely, 2^{1006514022401} is an apocalyptic number.

It is an amenable number.

1006514022401 is a deficient number, since it is larger than the sum of its proper divisors (40997672959).

1006514022401 is a wasteful number, since it uses less digits than its factorization.

1006514022401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85244.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 1006514022401 its reverse (1042204156001), we get a palindrome (2048718178402).

The spelling of 1006514022401 in words is "one trillion, six billion, five hundred fourteen million, twenty-two thousand, four hundred one".