1252351005696 has 264 divisors, whose sum is σ = 4136124312320. Its totient is φ = 357520490496.

The previous prime is 1252351005683. The next prime is 1252351005779. The reversal of 1252351005696 is 6965001532521.

1252351005696 is a `hidden beast` number, since 1 + 2 + 52 + 35 + 1 + 0 + 0 + 569 + 6 = 666.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 85600110 + ... + 85614738.

Almost surely, 2^{1252351005696} is an apocalyptic number.

1252351005696 is a gapful number since it is divisible by the number (16) 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 1252351005696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068062156160).

1252351005696 is an abundant number, since it is smaller than the sum of its proper divisors (2883773306624).

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

1252351005696 is a wasteful number, since it uses less digits than its factorization.

1252351005696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15989 (or 15968 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 1252351005696 in words is "one trillion, two hundred fifty-two billion, three hundred fifty-one million, five thousand, six hundred ninety-six".