1252317664900 has 81 divisors (see below), whose sum is σ = 2777745943567. Its totient is φ = 490063134400.

The previous prime is 1252317664879. The next prime is 1252317664933. The reversal of 1252317664900 is 94667132521.

It is a happy number.

The square root of 1252317664900 is 1119070.

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 766363678084 + 485953986816 = 875422^2 + 697104^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 525961710 + ... + 525964090.

Almost surely, 2^{1252317664900} is an apocalyptic number.

1252317664900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1252317664900 is the 1119070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252317664900

1252317664900 is an abundant number, since it is smaller than the sum of its proper divisors (1525428278667).

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

1252317664900 is an frugal number, since it uses more digits than its factorization.

1252317664900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 1252317664900 in words is "one trillion, two hundred fifty-two billion, three hundred seventeen million, six hundred sixty-four thousand, nine hundred".