10015004360061 has 24 divisors (see below), whose sum is σ = 15317251952184. Its totient is φ = 6283847808000.

The previous prime is 10015004360059. The next prime is 10015004360089. The reversal of 10015004360061 is 16006340051001.

10015004360061 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 50 + 0 + 4 + 3 + 600 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7263698765625 + 2751305594436 = 2695125^2 + 1658706^2 .

It is not a de Polignac number, because 10015004360061 - 2¹ = 10015004360059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015004360161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13877235 + ... + 14581071.

It is an arithmetic number, because the mean of its divisors is an integer number (638218831341).

Almost surely, 2^{10015004360061} is an apocalyptic number.

It is an amenable number.

10015004360061 is a deficient number, since it is larger than the sum of its proper divisors (5302247592123).

10015004360061 is a wasteful number, since it uses less digits than its factorization.

10015004360061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796861 (or 796858 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10015004360061 in words is "ten trillion, fifteen billion, four million, three hundred sixty thousand, sixty-one".