1252886216976 has 135 divisors (see below), whose sum is σ = 3605098538223. Its totient is φ = 406180293120.

The previous prime is 1252886216969. The next prime is 1252886216983. The reversal of 1252886216976 is 6796126882521.

The square root of 1252886216976 is 1119324.

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

1252886216976 is a `hidden beast` number, since 1 + 2 + 528 + 8 + 6 + 2 + 16 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1252886216969) and next prime (1252886216983).

It can be written as a sum of positive squares in 4 ways, for example, as 110928963600 + 1141957253376 = 333060^2 + 1068624^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 496978596 + ... + 496981116.

Almost surely, 2^{1252886216976} is an apocalyptic number.

1252886216976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1252886216976 is the 1119324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252886216976

1252886216976 is an abundant number, since it is smaller than the sum of its proper divisors (2352212321247).

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

1252886216976 is an frugal number, since it uses more digits than its factorization.

1252886216976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 2563 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 1252886216976 in words is "one trillion, two hundred fifty-two billion, eight hundred eighty-six million, two hundred sixteen thousand, nine hundred seventy-six".