1260522652900 has 243 divisors, whose sum is σ = 3266395365051. Its totient is φ = 420996804480.

The previous prime is 1260522652897. The next prime is 1260522652901. The reversal of 1260522652900 is 92562250621.

The square root of 1260522652900 is 1122730.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12136547556 + 1248386105344 = 110166^2 + 1117312^2 .

It is not an unprimeable number, because it can be changed into a prime (1260522652901) 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 80 ways as a sum of consecutive naturals, for example, 3379417114 + ... + 3379417486.

Almost surely, 2^{1260522652900} is an apocalyptic number.

1260522652900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1260522652900 is the 1122730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1260522652900

1260522652900 is an abundant number, since it is smaller than the sum of its proper divisors (2005872712151).

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

1260522652900 is an equidigital number, since it uses as much as digits as its factorization.

1260522652900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 1260522652900 in words is "one trillion, two hundred sixty billion, five hundred twenty-two million, six hundred fifty-two thousand, nine hundred".