1251646312900 has 81 divisors (see below), whose sum is σ = 2885678130517. Its totient is φ = 471136422400.

The previous prime is 1251646312879. The next prime is 1251646312909. The reversal of 1251646312900 is 92136461521.

The square root of 1251646312900 is 1118770.

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 775502151876 + 476144161024 = 880626^2 + 690032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1251646312909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 190187610 + ... + 190194190.

Almost surely, 2^{1251646312900} is an apocalyptic number.

1251646312900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1251646312900 is the 1118770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251646312900

1251646312900 is an abundant number, since it is smaller than the sum of its proper divisors (1634031817617).

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

1251646312900 is an frugal number, since it uses more digits than its factorization.

1251646312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13210 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 1251646312900 in words is "one trillion, two hundred fifty-one billion, six hundred forty-six million, three hundred twelve thousand, nine hundred".