61106513 has 6 divisors (see below), whose sum is σ = 66168774. Its totient is φ = 56405856.

The previous prime is 61106503. The next prime is 61106543. The reversal of 61106513 is 31560116.

61106513 = 5527² + 5528².

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 61105489 = 32^2 + 7817^2 .

It is not a de Polignac number, because 61106513 - 2⁴ = 61106497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61106503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180620 + ... + 180957.

It is an arithmetic number, because the mean of its divisors is an integer number (11028129).

Almost surely, 2^61106513 is an apocalyptic number.

61106513 is the 5528-th centered square number.

It is an amenable number.

61106513 is a deficient number, since it is larger than the sum of its proper divisors (5062261).

61106513 is a wasteful number, since it uses less digits than its factorization.

61106513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361603 (or 361590 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 61106513 is about 7817.0654979986. The cubic root of 61106513 is about 393.8787042770.

Adding to 61106513 its reverse (31560116), we get a palindrome (92666629).

The spelling of 61106513 in words is "sixty-one million, one hundred six thousand, five hundred thirteen".