10200072825 has 60 divisors (see below), whose sum is σ = 19153161148. Its totient is φ = 5365440000.

The previous prime is 10200072793. The next prime is 10200072829. The reversal of 10200072825 is 52827000201.

It can be written as a sum of positive squares in 6 ways, for example, as 1925805456 + 8274267369 = 43884^2 + 90963^2 .

It is not a de Polignac number, because 10200072825 - 2⁵ = 10200072793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200072829) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113325 + ... + 182325.

Almost surely, 2^10200072825 is an apocalyptic number.

10200072825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10200072825 is a deficient number, since it is larger than the sum of its proper divisors (8953088323).

10200072825 is an equidigital number, since it uses as much as digits as its factorization.

10200072825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69096 (or 69082 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 10200072825 in words is "ten billion, two hundred million, seventy-two thousand, eight hundred twenty-five".