10242452025 has 135 divisors (see below), whose sum is σ = 20663692599. Its totient is φ = 5013290880.

The previous prime is 10242451969. The next prime is 10242452039. The reversal of 10242452025 is 52025424201.

The square root of 10242452025 is 101205.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5656995369 + 4585456656 = 75213^2 + 67716^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 10242452025 - 2⁷ = 10242451897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10242452025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 59204839 + ... + 59205011.

Almost surely, 2^10242452025 is an apocalyptic number.

10242452025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10242452025 is the 101205-th square number.

10242452025 is the 50603-rd centered octagonal number.

It is an amenable number.

10242452025 is an abundant number, since it is smaller than the sum of its proper divisors (10421240574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10242452025 is an equidigital number, since it uses as much as digits as its factorization.

10242452025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Multiplying 10242452025 by its product of nonzero digits (6400), we get a square (65551692960000 = 8096400²).

Adding to 10242452025 its reverse (52025424201), we get a palindrome (62267876226).

It can be divided in two parts, 102424 and 52025, that added together give a square (154449 = 393²).

The spelling of 10242452025 in words is "ten billion, two hundred forty-two million, four hundred fifty-two thousand, twenty-five".