10514225952 has 96 divisors (see below), whose sum is σ = 30802161600. Its totient is φ = 3489237504.

The previous prime is 10514225929. The next prime is 10514226007. The reversal of 10514225952 is 25952241501.

10514225952 is a `hidden beast` number, since 10 + 51 + 4 + 2 + 2 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10514225952² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169324 + ... + 222932.

It is an arithmetic number, because the mean of its divisors is an integer number (320855850).

Almost surely, 2^10514225952 is an apocalyptic number.

10514225952 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 10514225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15401080800).

10514225952 is an abundant number, since it is smaller than the sum of its proper divisors (20287935648).

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

10514225952 is a wasteful number, since it uses less digits than its factorization.

10514225952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53855 (or 53841 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10514225952 in words is "ten billion, five hundred fourteen million, two hundred twenty-five thousand, nine hundred fifty-two".