1006190034513 has 12 divisors (see below), whose sum is σ = 1425145747920. Its totient is φ = 631334923072.

The previous prime is 1006190034467. The next prime is 1006190034569. The reversal of 1006190034513 is 3154300916001.

It is not a de Polignac number, because 1006190034513 - 2⁸ = 1006190034257 is a prime.

It is a super-2 number, since 2×1006190034513² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006190024513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580270203 + ... + 580271936.

It is an arithmetic number, because the mean of its divisors is an integer number (118762145660).

Almost surely, 2^{1006190034513} is an apocalyptic number.

It is an amenable number.

1006190034513 is a deficient number, since it is larger than the sum of its proper divisors (418955713407).

1006190034513 is a wasteful number, since it uses less digits than its factorization.

1006190034513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160542176 (or 1160542159 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 1006190034513 in words is "one trillion, six billion, one hundred ninety million, thirty-four thousand, five hundred thirteen".