61505141 has 8 divisors (see below), whose sum is σ = 63221400. Its totient is φ = 59811840.

The previous prime is 61505131. The next prime is 61505149. The reversal of 61505141 is 14150516.

61505141 = 5545² + 5546².

It can be written as a sum of positive squares in 4 ways, for example, as 1380625 + 60124516 = 1175^2 + 7754^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61505141 - 2²² = 57310837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61505149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236 + ... + 11093.

It is an arithmetic number, because the mean of its divisors is an integer number (7902675).

Almost surely, 2^61505141 is an apocalyptic number.

61505141 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

61505141 is the 5546-th centered square number.

It is an amenable number.

61505141 is a deficient number, since it is larger than the sum of its proper divisors (1716259).

61505141 is a wasteful number, since it uses less digits than its factorization.

61505141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 61505141 is about 7842.5213420175. The cubic root of 61505141 is about 394.7333370820.

Adding to 61505141 its reverse (14150516), we get a palindrome (75655657).

It can be divided in two parts, 61 and 505141, that multiplied together give a square (30813601 = 5551²).

The spelling of 61505141 in words is "sixty-one million, five hundred five thousand, one hundred forty-one".