61553 has 2 divisors, whose sum is σ = 61554. Its totient is φ = 61552.

The previous prime is 61547. The next prime is 61559. The reversal of 61553 is 35516.

61553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (61547) and next prime (61559).

It can be written as a sum of positive squares in only one way, i.e., 61504 + 49 = 248^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 61553 - 2⁸ = 61297 is a prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (61559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30776 + 30777.

It is an arithmetic number, because the mean of its divisors is an integer number (30777).

2⁶¹⁵⁵³ is an apocalyptic number.

It is an amenable number.

61553 is a deficient number, since it is larger than the sum of its proper divisors (1).

61553 is an equidigital number, since it uses as much as digits as its factorization.

61553 is an evil number, because the sum of its binary digits is even.

The product of its digits is 450, while the sum is 20.

The square root of 61553 is about 248.0987706539. The cubic root of 61553 is about 39.4835695164.

It can be divided in two parts, 61 and 553, that multiplied together give a palindrome (33733).

The spelling of 61553 in words is "sixty-one thousand, five hundred fifty-three".