61653132 has 36 divisors (see below), whose sum is σ = 158177656. Its totient is φ = 20243520.

The previous prime is 61653131. The next prime is 61653167. The reversal of 61653132 is 23135616.

61653132 is a `hidden beast` number, since 6 + 1 + 653 + 1 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×61653132² = 7602217370818848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61653096 and 61653105.

It is not an unprimeable number, because it can be changed into a prime (61653131) 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 11 ways as a sum of consecutive naturals, for example, 10369 + ... + 15192.

Almost surely, 2^61653132 is an apocalyptic number.

It is an amenable number.

61653132 is an abundant number, since it is smaller than the sum of its proper divisors (96524524).

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

61653132 is a wasteful number, since it uses less digits than its factorization.

61653132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25638 (or 25633 counting only the distinct ones).

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

The square root of 61653132 is about 7851.9508403963. The cubic root of 61653132 is about 395.0496802332.

Adding to 61653132 its reverse (23135616), we get a palindrome (84788748).

The spelling of 61653132 in words is "sixty-one million, six hundred fifty-three thousand, one hundred thirty-two".