10506415585 has 8 divisors (see below), whose sum is σ = 12610210536. Its totient is φ = 8403457920.

The previous prime is 10506415567. The next prime is 10506415603. The reversal of 10506415585 is 58551460501.

It is an interprime number because it is at equal distance from previous prime (10506415567) and next prime (10506415603).

It can be written as a sum of positive squares in 4 ways, for example, as 201526416 + 10304889169 = 14196^2 + 101513^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10506415585 - 2⁵ = 10506415553 is a prime.

It is a super-2 number, since 2×10506415585² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181374 + ... + 232183.

It is an arithmetic number, because the mean of its divisors is an integer number (1576276317).

Almost surely, 2^10506415585 is an apocalyptic number.

It is an amenable number.

10506415585 is a deficient number, since it is larger than the sum of its proper divisors (2103794951).

10506415585 is an equidigital number, since it uses as much as digits as its factorization.

10506415585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418643.

The product of its (nonzero) digits is 120000, while the sum is 40.

The spelling of 10506415585 in words is "ten billion, five hundred six million, four hundred fifteen thousand, five hundred eighty-five".