1007205061 has 8 divisors (see below), whose sum is σ = 1042587000. Its totient is φ = 971866560.

The previous prime is 1007205041. The next prime is 1007205071. The reversal of 1007205061 is 1605027001.

It can be written as a sum of positive squares in 4 ways, for example, as 38812900 + 968392161 = 6230^2 + 31119^2 .

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

It is not a de Polignac number, because 1007205061 - 2¹⁷ = 1007073989 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 (1007205011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40515 + ... + 60463.

It is an arithmetic number, because the mean of its divisors is an integer number (130323375).

Almost surely, 2^1007205061 is an apocalyptic number.

It is an amenable number.

1007205061 is a deficient number, since it is larger than the sum of its proper divisors (35381939).

1007205061 is a wasteful number, since it uses less digits than its factorization.

1007205061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21719.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1007205061 is about 31736.4941510558. The cubic root of 1007205061 is about 1002.3959418779.

The spelling of 1007205061 in words is "one billion, seven million, two hundred five thousand, sixty-one".