2958233347413 has 12 divisors (see below), whose sum is σ = 4291342798860. Its totient is φ = 1963691376576.

The previous prime is 2958233347357. The next prime is 2958233347417. The reversal of 2958233347413 is 3147433328592.

2958233347413 is a `hidden beast` number, since 2 + 9 + 58 + 233 + 347 + 4 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 547921207089 + 2410312140324 = 740217^2 + 1552518^2 .

It is not a de Polignac number, because 2958233347413 - 2¹⁰ = 2958233346389 is a prime.

It is a super-2 number, since 2×2958233347413² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2958233347413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958233347417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705346818 + ... + 705351011.

It is an arithmetic number, because the mean of its divisors is an integer number (357611899905).

Almost surely, 2^{2958233347413} is an apocalyptic number.

It is an amenable number.

2958233347413 is a deficient number, since it is larger than the sum of its proper divisors (1333109451447).

2958233347413 is a wasteful number, since it uses less digits than its factorization.

2958233347413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410698068 (or 1410698065 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 2958233347413 in words is "two trillion, nine hundred fifty-eight billion, two hundred thirty-three million, three hundred forty-seven thousand, four hundred thirteen".