61536123 has 30 divisors (see below), whose sum is σ = 97982820. Its totient is φ = 37214760.

The previous prime is 61536103. The next prime is 61536131. The reversal of 61536123 is 32163516.

61536123 is a `hidden beast` number, since 6 + 1 + 536 + 123 = 666.

It is not a de Polignac number, because 61536123 - 2⁵ = 61536091 is a prime.

It is a super-3 number, since 3×61536123³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (61536103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 131536 + ... + 132002.

It is an arithmetic number, because the mean of its divisors is an integer number (3266094).

Almost surely, 2^61536123 is an apocalyptic number.

61536123 is a deficient number, since it is larger than the sum of its proper divisors (36446697).

61536123 is an equidigital number, since it uses as much as digits as its factorization.

61536123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 481 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 61536123 is about 7844.4963509457. The cubic root of 61536123 is about 394.7996056635.

Adding to 61536123 its reverse (32163516), we get a palindrome (93699639).

The spelling of 61536123 in words is "sixty-one million, five hundred thirty-six thousand, one hundred twenty-three".