61131005 has 8 divisors (see below), whose sum is σ = 79000152. Its totient is φ = 45142848.

The previous prime is 61130989. The next prime is 61131011. The reversal of 61131005 is 50013116.

It can be written as a sum of positive squares in 4 ways, for example, as 3644281 + 57486724 = 1909^2 + 7582^2 .

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 61131005 - 2⁴ = 61130989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470174 + ... + 470303.

It is an arithmetic number, because the mean of its divisors is an integer number (9875019).

Almost surely, 2^61131005 is an apocalyptic number.

61131005 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61131005 is a deficient number, since it is larger than the sum of its proper divisors (17869147).

61131005 is a wasteful number, since it uses less digits than its factorization.

61131005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940495.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 61131005 is about 7818.6319135767. The cubic root of 61131005 is about 393.9313205377.

The spelling of 61131005 in words is "sixty-one million, one hundred thirty-one thousand, five".