2354416513 has 16 divisors (see below), whose sum is σ = 2588752656. Its totient is φ = 2132213760.

The previous prime is 2354416507. The next prime is 2354416529. The reversal of 2354416513 is 3156144532.

It can be written as a sum of positive squares in 8 ways, for example, as 71774784 + 2282641729 = 8472^2 + 47777^2 .

It is a cyclic number.

It is not a de Polignac number, because 2354416513 - 2¹³ = 2354408321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2354416583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27745 + ... + 74017.

It is an arithmetic number, because the mean of its divisors is an integer number (161797041).

Almost surely, 2^2354416513 is an apocalyptic number.

It is an amenable number.

2354416513 is a deficient number, since it is larger than the sum of its proper divisors (234336143).

2354416513 is a wasteful number, since it uses less digits than its factorization.

2354416513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46404.

The product of its digits is 43200, while the sum is 34.

The square root of 2354416513 is about 48522.3300450421. The cubic root of 2354416513 is about 1330.3352487458.

The spelling of 2354416513 in words is "two billion, three hundred fifty-four million, four hundred sixteen thousand, five hundred thirteen".