10253200032 has 72 divisors (see below), whose sum is σ = 29446309620. Its totient is φ = 3383884800.

The previous prime is 10253199991. The next prime is 10253200039. The reversal of 10253200032 is 23000235201.

10253200032 is a `hidden beast` number, since 102 + 532 + 0 + 0 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6889664016 + 3363536016 = 83004^2 + 57996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10253200032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10253199978 and 10253200014.

It is not an unprimeable number, because it can be changed into a prime (10253200039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147157 + ... + 205332.

Almost surely, 2^10253200032 is an apocalyptic number.

10253200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10253200032 is an abundant number, since it is smaller than the sum of its proper divisors (19193109588).

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

10253200032 is a wasteful number, since it uses less digits than its factorization.

10253200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352606 (or 352595 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10253200032 its reverse (23000235201), we get a palindrome (33253435233).

The spelling of 10253200032 in words is "ten billion, two hundred fifty-three million, two hundred thousand, thirty-two".