315135011424 has 24 divisors (see below), whose sum is σ = 827229405240. Its totient is φ = 105045003776.

The previous prime is 315135011423. The next prime is 315135011437. The reversal of 315135011424 is 424110531513.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×315135011424² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315135011391 and 315135011400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315135011423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1641328089 + ... + 1641328280.

It is an arithmetic number, because the mean of its divisors is an integer number (34467891885).

Almost surely, 2^315135011424 is an apocalyptic number.

It is an amenable number.

315135011424 is an abundant number, since it is smaller than the sum of its proper divisors (512094393816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315135011424 is a wasteful number, since it uses less digits than its factorization.

315135011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282656382 (or 3282656374 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 315135011424 its reverse (424110531513), we get a palindrome (739245542937).

The spelling of 315135011424 in words is "three hundred fifteen billion, one hundred thirty-five million, eleven thousand, four hundred twenty-four".