10005042332051 has 16 divisors (see below), whose sum is σ = 10912983513600. Its totient is φ = 9116902967328.

The previous prime is 10005042332041. The next prime is 10005042332137. The reversal of 10005042332051 is 15023324050001.

It is a happy number.

It is not a de Polignac number, because 10005042332051 - 2⁶ = 10005042331987 is a prime.

It is a super-2 number, since 2×10005042332051² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10005042332051.

It is not an unprimeable number, because it can be changed into a prime (10005042332041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4951040 + ... + 6672546.

It is an arithmetic number, because the mean of its divisors is an integer number (682061469600).

Almost surely, 2^{10005042332051} is an apocalyptic number.

10005042332051 is a deficient number, since it is larger than the sum of its proper divisors (907941181549).

10005042332051 is a wasteful number, since it uses less digits than its factorization.

10005042332051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727258.

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 10005042332051 its reverse (15023324050001), we get a palindrome (25028366382052).

The spelling of 10005042332051 in words is "ten trillion, five billion, forty-two million, three hundred thirty-two thousand, fifty-one".