61007271 has 64 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 32126976.

The previous prime is 61007267. The next prime is 61007273. The reversal of 61007271 is 17270016.

It is not a de Polignac number, because 61007271 - 2² = 61007267 is a prime.

It is a super-2 number, since 2×61007271² = 7443774229734882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61007273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365230 + ... + 365396.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^61007271 is an apocalyptic number.

61007271 is a deficient number, since it is larger than the sum of its proper divisors (40599129).

61007271 is a wasteful number, since it uses less digits than its factorization.

61007271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 61007271 is about 7810.7151401136. The cubic root of 61007271 is about 393.6653582741.

Adding to 61007271 its reverse (17270016), we get a palindrome (78277287).

The spelling of 61007271 in words is "sixty-one million, seven thousand, two hundred seventy-one".