10486784025 has 27 divisors (see below), whose sum is σ = 18785747071. Its totient is φ = 5592132240.

The previous prime is 10486784023. The next prime is 10486784029. The reversal of 10486784025 is 52048768401.

The square root of 10486784025 is 102405.

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

It can be written as a sum of positive squares in only one way, i.e., 3775242249 + 6711541776 = 61443^2 + 81924^2 .

It is not a de Polignac number, because 10486784025 - 2¹ = 10486784023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10486784023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1532662 + ... + 1539488.

Almost surely, 2^10486784025 is an apocalyptic number.

10486784025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10486784025 is the 102405-th square number.

10486784025 is the 51203-rd centered octagonal number.

It is an amenable number.

10486784025 is a deficient number, since it is larger than the sum of its proper divisors (8298963046).

10486784025 is an frugal number, since it uses more digits than its factorization.

10486784025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13670 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10486784025 in words is "ten billion, four hundred eighty-six million, seven hundred eighty-four thousand, twenty-five".