10515066849 has 81 divisors (see below), whose sum is σ = 18719858547. Its totient is φ = 5670217728.

The previous prime is 10515066829. The next prime is 10515066851. The reversal of 10515066849 is 94866051501.

The square root of 10515066849 is 102543.

It is a perfect power (a square), and thus also a powerful number.

10515066849 is a `hidden beast` number, since 10 + 51 + 506 + 6 + 84 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10352045025 + 163021824 = 101745^2 + 12768^2 .

It is not a de Polignac number, because 10515066849 - 2¹³ = 10515058657 is a prime.

It is a super-2 number, since 2×10515066849² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10515066829) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40914529 + ... + 40914785.

Almost surely, 2^10515066849 is an apocalyptic number.

10515066849 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10515066849 is the 102543-rd square number.

10515066849 is the 51272-nd centered octagonal number.

It is an amenable number.

10515066849 is a deficient number, since it is larger than the sum of its proper divisors (8204791698).

10515066849 is an equidigital number, since it uses as much as digits as its factorization.

10515066849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10515066849 in words is "ten billion, five hundred fifteen million, sixty-six thousand, eight hundred forty-nine".