61413132 has 48 divisors (see below), whose sum is σ = 157876992. Its totient is φ = 18425280.

The previous prime is 61413113. The next prime is 61413137. The reversal of 61413132 is 23131416.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61413099 and 61413108.

It is not an unprimeable number, because it can be changed into a prime (61413137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11338 + ... + 15854.

It is an arithmetic number, because the mean of its divisors is an integer number (3289104).

Almost surely, 2^61413132 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 61413132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78938496).

61413132 is an abundant number, since it is smaller than the sum of its proper divisors (96463860).

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

61413132 is a wasteful number, since it uses less digits than its factorization.

61413132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4636 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 61413132 is about 7836.6531121391. The cubic root of 61413132 is about 394.5364042477.

Adding to 61413132 its reverse (23131416), we get a palindrome (84544548).

The spelling of 61413132 in words is "sixty-one million, four hundred thirteen thousand, one hundred thirty-two".