10142982888025 has 45 divisors (see below), whose sum is σ = 13628986390401. Its totient is φ = 7488215429760.

The previous prime is 10142982887987. The next prime is 10142982888041. The reversal of 10142982888025 is 52088828924101.

It is a happy number.

The square root of 10142982888025 is 3184805.

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

It can be written as a sum of positive squares in 22 ways, for example, as 7240334679369 + 2902648208656 = 2690787^2 + 1703716^2 .

It is not a de Polignac number, because 10142982888025 - 2¹⁹ = 10142982363737 is a prime.

It is a super-3 number, since 3×10142982888025³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2691158341 + ... + 2691162109.

Almost surely, 2^{10142982888025} is an apocalyptic number.

10142982888025 is the 3184805-th square number.

10142982888025 is the 1592403-rd centered octagonal number.

It is an amenable number.

10142982888025 is a deficient number, since it is larger than the sum of its proper divisors (3486003502376).

10142982888025 is an frugal number, since it uses more digits than its factorization.

10142982888025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 58.

The spelling of 10142982888025 in words is "ten trillion, one hundred forty-two billion, nine hundred eighty-two million, eight hundred eighty-eight thousand, twenty-five".