1259130852100 has 135 divisors (see below), whose sum is σ = 3033320105305. Its totient is φ = 453332440000.

The previous prime is 1259130852041. The next prime is 1259130852103. The reversal of 1259130852100 is 12580319521.

The square root of 1259130852100 is 1122110.

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

It can be written as a sum of positive squares in 7 ways, for example, as 73976384196 + 1185154467904 = 271986^2 + 1088648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1259130852100.

It is not an unprimeable number, because it can be changed into a prime (1259130852103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12466642050 + ... + 12466642150.

Almost surely, 2^{1259130852100} is an apocalyptic number.

1259130852100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1259130852100 is the 1122110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1259130852100

1259130852100 is an abundant number, since it is smaller than the sum of its proper divisors (1774189253205).

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

1259130852100 is an frugal number, since it uses more digits than its factorization.

1259130852100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 1259130852100 in words is "one trillion, two hundred fifty-nine billion, one hundred thirty million, eight hundred fifty-two thousand, one hundred".