1007145286719 has 32 divisors (see below), whose sum is σ = 1580865990144. Its totient is φ = 562280849280.

The previous prime is 1007145286717. The next prime is 1007145286733. The reversal of 1007145286719 is 9176825417001.

It is not a de Polignac number, because 1007145286719 - 2¹ = 1007145286717 is a prime.

It is a super-2 number, since 2×1007145286719² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007145286717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2201404 + ... + 2619249.

It is an arithmetic number, because the mean of its divisors is an integer number (49402062192).

Almost surely, 2^{1007145286719} is an apocalyptic number.

1007145286719 is a deficient number, since it is larger than the sum of its proper divisors (573720703425).

1007145286719 is a wasteful number, since it uses less digits than its factorization.

1007145286719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821167.

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 1007145286719 in words is "one trillion, seven billion, one hundred forty-five million, two hundred eighty-six thousand, seven hundred nineteen".