10153525032 has 384 divisors, whose sum is σ = 33512693760. Its totient is φ = 2717245440.

The previous prime is 10153524989. The next prime is 10153525033. The reversal of 10153525032 is 23052535101.

It is a happy number.

10153525032 is a `hidden beast` number, since 1 + 0 + 153 + 5 + 2 + 503 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10153524987 and 10153525005.

It is not an unprimeable number, because it can be changed into a prime (10153525033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79948953 + ... + 79949079.

It is an arithmetic number, because the mean of its divisors is an integer number (87272640).

Almost surely, 2^10153525032 is an apocalyptic number.

10153525032 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 10153525032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756346880).

10153525032 is an abundant number, since it is smaller than the sum of its proper divisors (23359168728).

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

10153525032 is a wasteful number, since it uses less digits than its factorization.

10153525032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10153525032 in words is "ten billion, one hundred fifty-three million, five hundred twenty-five thousand, thirty-two".