315754383457513 has 288 divisors, whose sum is σ = 465313029221376. Its totient is φ = 211840054272000.

The previous prime is 315754383457493. The next prime is 315754383457531.

315754383457513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315754383457513 - 2¹³ = 315754383449321 is a prime.

It is a super-2 number, since 2×315754383457513² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (315754383452513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8131064545 + ... + 8131103377.

It is an arithmetic number, because the mean of its divisors is an integer number (1615670240352).

Almost surely, 2^{315754383457513} is an apocalyptic number.

It is an amenable number.

315754383457513 is a deficient number, since it is larger than the sum of its proper divisors (149558645763863).

315754383457513 is a wasteful number, since it uses less digits than its factorization.

315754383457513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39037 (or 39019 counting only the distinct ones).

The product of its digits is 317520000, while the sum is 64.

The spelling of 315754383457513 in words is "three hundred fifteen trillion, seven hundred fifty-four billion, three hundred eighty-three million, four hundred fifty-seven thousand, five hundred thirteen".