1006516813623 has 16 divisors (see below), whose sum is σ = 1344881200896. Its totient is φ = 669583031040.

The previous prime is 1006516813543. The next prime is 1006516813669. The reversal of 1006516813623 is 3263186156001.

It is not a de Polignac number, because 1006516813623 - 2¹² = 1006516809527 is a prime.

It is a super-2 number, since 2×1006516813623² (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 (1006516813693) 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, 3193863 + ... + 3494823.

It is an arithmetic number, because the mean of its divisors is an integer number (84055075056).

Almost surely, 2^{1006516813623} is an apocalyptic number.

1006516813623 is a deficient number, since it is larger than the sum of its proper divisors (338364387273).

1006516813623 is a wasteful number, since it uses less digits than its factorization.

1006516813623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303334.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 1006516813623 in words is "one trillion, six billion, five hundred sixteen million, eight hundred thirteen thousand, six hundred twenty-three".