1252032932304 has 720 divisors, whose sum is σ = 4659665512320. Its totient is φ = 309740175360.

The previous prime is 1252032932251. The next prime is 1252032932309. The reversal of 1252032932304 is 4032392302521.

1252032932304 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 0 + 329 + 323 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252032932309) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 458786812 + ... + 458789540.

It is an arithmetic number, because the mean of its divisors is an integer number (6471757656).

Almost surely, 2^{1252032932304} is an apocalyptic number.

1252032932304 is a gapful number since it is divisible by the number (14) 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 1252032932304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329832756160).

1252032932304 is an abundant number, since it is smaller than the sum of its proper divisors (3407632580016).

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

1252032932304 is a wasteful number, since it uses less digits than its factorization.

1252032932304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1252032932304 in words is "one trillion, two hundred fifty-two billion, thirty-two million, nine hundred thirty-two thousand, three hundred four".