13101625 has 16 divisors (see below), whose sum is σ = 16453008. Its totient is φ = 10416000.

The previous prime is 13101617. The next prime is 13101629. The reversal of 13101625 is 52610131.

It can be written as a sum of positive squares in 8 ways, for example, as 2944656 + 10156969 = 1716^2 + 3187^2 .

It is not a de Polignac number, because 13101625 - 2³ = 13101617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34939 + ... + 35311.

It is an arithmetic number, because the mean of its divisors is an integer number (1028313).

Almost surely, 2^13101625 is an apocalyptic number.

It is an amenable number.

13101625 is a deficient number, since it is larger than the sum of its proper divisors (3351383).

13101625 is an equidigital number, since it uses as much as digits as its factorization.

13101625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 13101625 is about 3619.6166924137. The cubic root of 13101625 is about 235.7445826639.

Adding to 13101625 its reverse (52610131), we get a palindrome (65711756).

It can be divided in two parts, 13 and 101625, that multiplied together give a triangular number (1321125 = T₁₆₂₅).

The spelling of 13101625 in words is "thirteen million, one hundred one thousand, six hundred twenty-five".