342575645742513 has 24 divisors (see below), whose sum is σ = 523951939342728. Its totient is φ = 214944207777792.

The previous prime is 342575645742511. The next prime is 342575645742523. The reversal of 342575645742513 is 315247546575243.

342575645742513 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 7 + 5 + 6 + 4 + 574 + 2 + 51 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31006265578929 + 311569380163584 = 5568327^2 + 17651328^2 .

It is not a de Polignac number, because 342575645742513 - 2¹ = 342575645742511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (342575645742511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20842620 + ... + 33459917.

It is an arithmetic number, because the mean of its divisors is an integer number (21831330805947).

Almost surely, 2^{342575645742513} is an apocalyptic number.

It is an amenable number.

342575645742513 is a deficient number, since it is larger than the sum of its proper divisors (181376293600215).

342575645742513 is a wasteful number, since it uses less digits than its factorization.

342575645742513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54343793 (or 54343790 counting only the distinct ones).

The product of its digits is 423360000, while the sum is 63.

The spelling of 342575645742513 in words is "three hundred forty-two trillion, five hundred seventy-five billion, six hundred forty-five million, seven hundred forty-two thousand, five hundred thirteen".