261580058001 has 12 divisors (see below), whose sum is σ = 377873283060. Its totient is φ = 174370356960.

The previous prime is 261580057957. The next prime is 261580058011. The reversal of 261580058001 is 100850085162.

261580058001 is a `hidden beast` number, since 26 + 1 + 58 + 0 + 0 + 580 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 246512250000 + 15067808001 = 496500^2 + 122751^2 .

It is not a de Polignac number, because 261580058001 - 2⁹ = 261580057489 is a prime.

It is a super-4 number, since 4×261580058001⁴ (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (261580058011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260630 + ... + 1453391.

It is an arithmetic number, because the mean of its divisors is an integer number (31489440255).

Almost surely, 2^261580058001 is an apocalyptic number.

It is an amenable number.

261580058001 is a deficient number, since it is larger than the sum of its proper divisors (116293225059).

261580058001 is a wasteful number, since it uses less digits than its factorization.

261580058001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724736 (or 2724733 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 261580058001 in words is "two hundred sixty-one billion, five hundred eighty million, fifty-eight thousand, one".