10506010051565 has 16 divisors (see below), whose sum is σ = 14521693089792. Its totient is φ = 7147395811584.

The previous prime is 10506010051561. The next prime is 10506010051613. The reversal of 10506010051565 is 56515001060501.

It is not a de Polignac number, because 10506010051565 - 2² = 10506010051561 is a prime.

It is a super-2 number, since 2×10506010051565² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506010051561) 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, 1181773964 + ... + 1181782853.

It is an arithmetic number, because the mean of its divisors is an integer number (907605818112).

Almost surely, 2^{10506010051565} is an apocalyptic number.

It is an amenable number.

10506010051565 is a deficient number, since it is larger than the sum of its proper divisors (4015683038227).

10506010051565 is a wasteful number, since it uses less digits than its factorization.

10506010051565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363556956.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 10506010051565 in words is "ten trillion, five hundred six billion, ten million, fifty-one thousand, five hundred sixty-five".