61628125 has 48 divisors (see below), whose sum is σ = 87275664. Its totient is φ = 43200000.

The previous prime is 61628113. The next prime is 61628129. The reversal of 61628125 is 52182616.

It can be written as a sum of positive squares in 24 ways, for example, as 41718681 + 19909444 = 6459^2 + 4462^2 .

It is not a de Polignac number, because 61628125 - 2¹¹ = 61626077 is a prime.

It is a Duffinian number.

Its product of digits (5760) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61628129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1503105 + ... + 1503145.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 2^61628125 is an apocalyptic number.

61628125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61628125 is a deficient number, since it is larger than the sum of its proper divisors (25647539).

61628125 is an equidigital number, since it uses as much as digits as its factorization.

61628125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 61628125 is about 7850.3582720791. The cubic root of 61628125 is about 394.9962612475.

The spelling of 61628125 in words is "sixty-one million, six hundred twenty-eight thousand, one hundred twenty-five".