61305125 has 24 divisors (see below), whose sum is σ = 89008920. Its totient is φ = 42033600.

The previous prime is 61305121. The next prime is 61305131. The reversal of 61305125 is 52150316.

It can be written as a sum of positive squares in 4 ways, for example, as 1366561 + 59938564 = 1169^2 + 7742^2 .

It is not a de Polignac number, because 61305125 - 2² = 61305121 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61305125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61305121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121 + ... + 11129.

It is an arithmetic number, because the mean of its divisors is an integer number (3708705).

Almost surely, 2^61305125 is an apocalyptic number.

It is an amenable number.

61305125 is a deficient number, since it is larger than the sum of its proper divisors (27703795).

61305125 is a wasteful number, since it uses less digits than its factorization.

61305125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 61305125 is about 7829.7589362636. The cubic root of 61305125 is about 394.3049787236.

The spelling of 61305125 in words is "sixty-one million, three hundred five thousand, one hundred twenty-five".