61825152 has 64 divisors (see below), whose sum is σ = 165166560. Its totient is φ = 20490240.

The previous prime is 61825151. The next prime is 61825157. The reversal of 61825152 is 25152816.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (61825151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89127 + ... + 89817.

Almost surely, 2^61825152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82583280).

61825152 is an abundant number, since it is smaller than the sum of its proper divisors (103341408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61825152 is a wasteful number, since it uses less digits than its factorization.

61825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 61825152 is about 7862.8971759778. The cubic root of 61825152 is about 395.4167518332.

Adding to 61825152 its reverse (25152816), we get a palindrome (86977968).

The spelling of 61825152 in words is "sixty-one million, eight hundred twenty-five thousand, one hundred fifty-two".