10587381025 has 27 divisors (see below), whose sum is σ = 14224894329. Its totient is φ = 7813434720.

The previous prime is 10587381011. The next prime is 10587381029. The reversal of 10587381025 is 52018378501.

The square root of 10587381025 is 102895.

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

10587381025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2728913121 + 7858467904 = 52239^2 + 88648^2 .

It is not a de Polignac number, because 10587381025 - 2¹³ = 10587372833 is a prime.

It is a super-2 number, since 2×10587381025² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10587381029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6687384 + ... + 6688966.

Almost surely, 2^10587381025 is an apocalyptic number.

10587381025 is the 102895-th square number.

10587381025 is the 51448-th centered octagonal number.

It is an amenable number.

10587381025 is a deficient number, since it is larger than the sum of its proper divisors (3637513304).

10587381025 is an frugal number, since it uses more digits than its factorization.

10587381025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 10587381025 in words is "ten billion, five hundred eighty-seven million, three hundred eighty-one thousand, twenty-five".