10334513952 has 252 divisors, whose sum is σ = 35489515446. Its totient is φ = 2952391680.

The previous prime is 10334513951. The next prime is 10334513963. The reversal of 10334513952 is 25931543301.

10334513952 is a `hidden beast` number, since 103 + 34 + 513 + 9 + 5 + 2 = 666.

10334513952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5601624336 + 4732889616 = 74844^2 + 68796^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (10334513951) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 1138552 + ... + 1147592.

Almost surely, 2^10334513952 is an apocalyptic number.

10334513952 is a gapful number since it is divisible by the number (12) 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 10334513952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744757723).

10334513952 is an abundant number, since it is smaller than the sum of its proper divisors (25155001494).

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

10334513952 is an frugal number, since it uses more digits than its factorization.

10334513952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10334513952 in words is "ten billion, three hundred thirty-four million, five hundred thirteen thousand, nine hundred fifty-two".