10001610516015 has 72 divisors (see below), whose sum is σ = 17724953495808. Its totient is φ = 5217124621440.

The previous prime is 10001610515999. The next prime is 10001610516031. The reversal of 10001610516015 is 51061501610001.

10001610516015 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 6 + 1 + 0 + 51 + 601 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10001610515999) and next prime (10001610516031).

It is not a de Polignac number, because 10001610516015 - 2⁴ = 10001610515999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001610516015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148377970 + ... + 148445360.

It is an arithmetic number, because the mean of its divisors is an integer number (246179909664).

Almost surely, 2^{10001610516015} is an apocalyptic number.

10001610516015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10001610516015 is a deficient number, since it is larger than the sum of its proper divisors (7723342979793).

10001610516015 is a wasteful number, since it uses less digits than its factorization.

10001610516015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68989 (or 68939 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 10001610516015 in words is "ten trillion, one billion, six hundred ten million, five hundred sixteen thousand, fifteen".