1251453706500 has 192 divisors, whose sum is σ = 3691604367360. Its totient is φ = 329390588800.

The previous prime is 1251453706427. The next prime is 1251453706501. The reversal of 1251453706500 is 56073541521.

It is a super-2 number, since 2×1251453706500² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1251453706501) 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 63 ways as a sum of consecutive naturals, for example, 152259391 + ... + 152267609.

It is an arithmetic number, because the mean of its divisors is an integer number (19227106080).

Almost surely, 2^{1251453706500} is an apocalyptic number.

1251453706500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251453706500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845802183680).

1251453706500 is an abundant number, since it is smaller than the sum of its proper divisors (2440150660860).

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

1251453706500 is a wasteful number, since it uses less digits than its factorization.

1251453706500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547 (or 9535 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 1251453706500 in words is "one trillion, two hundred fifty-one billion, four hundred fifty-three million, seven hundred six thousand, five hundred".