61029125 has 8 divisors (see below), whose sum is σ = 76164504. Its totient is φ = 48823200.

The previous prime is 61029119. The next prime is 61029127. The reversal of 61029125 is 52192016.

61029125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15358561 + 45670564 = 3919^2 + 6758^2 .

It is a de Polignac number, because none of the positive numbers 2^k-61029125 is a prime.

It is a super-3 number, since 3×61029125³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61029094 and 61029103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61029127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243992 + ... + 244241.

It is an arithmetic number, because the mean of its divisors is an integer number (9520563).

Almost surely, 2^61029125 is an apocalyptic number.

It is an amenable number.

61029125 is a deficient number, since it is larger than the sum of its proper divisors (15135379).

61029125 is an equidigital number, since it uses as much as digits as its factorization.

61029125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488248 (or 488238 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 61029125 is about 7812.1139904638. The cubic root of 61029125 is about 393.7123588776.

The spelling of 61029125 in words is "sixty-one million, twenty-nine thousand, one hundred twenty-five".