10513151505 has 24 divisors (see below), whose sum is σ = 18235150440. Its totient is φ = 5603212800.

The previous prime is 10513151477. The next prime is 10513151513. The reversal of 10513151505 is 50515131501.

10513151505 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 151 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18378369 + 10494773136 = 4287^2 + 102444^2 .

It is not a de Polignac number, because 10513151505 - 2¹⁰ = 10513150481 is a prime.

It is a super-2 number, since 2×10513151505² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11446 + ... + 145455.

It is an arithmetic number, because the mean of its divisors is an integer number (759797935).

Almost surely, 2^10513151505 is an apocalyptic number.

10513151505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10513151505 is a deficient number, since it is larger than the sum of its proper divisors (7721998935).

10513151505 is a wasteful number, since it uses less digits than its factorization.

10513151505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158401 (or 158398 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 27.

The spelling of 10513151505 in words is "ten billion, five hundred thirteen million, one hundred fifty-one thousand, five hundred five".