355431383134553 has 12 divisors (see below), whose sum is σ = 400209575935764. Its totient is φ = 315238477276800.

The previous prime is 355431383134517. The next prime is 355431383134589.

355431383134553 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (355431383134517) and next prime (355431383134589).

It can be written as a sum of positive squares in 2 ways, for example, as 132355890187609 + 223075492946944 = 11504603^2 + 14935712^2 .

It is not a de Polignac number, because 355431383134553 - 2⁶ = 355431383134489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (355431383164553) 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, 35822549276 + ... + 35822559197.

It is an arithmetic number, because the mean of its divisors is an integer number (33350797994647).

Almost surely, 2^{355431383134553} is an apocalyptic number.

It is an amenable number.

355431383134553 is a deficient number, since it is larger than the sum of its proper divisors (44778192801211).

355431383134553 is a wasteful number, since it uses less digits than its factorization.

355431383134553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71645108536 (or 71645108525 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 56.

The spelling of 355431383134553 in words is "three hundred fifty-five trillion, four hundred thirty-one billion, three hundred eighty-three million, one hundred thirty-four thousand, five hundred fifty-three".