315252252513 has 96 divisors (see below), whose sum is σ = 515766730752. Its totient is φ = 183876739200.

The previous prime is 315252252509. The next prime is 315252252529.

315252252513 is a `hidden beast` number, since 31 + 5 + 2 + 522 + 52 + 51 + 3 = 666.

315252252513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315252252513 - 2² = 315252252509 is a prime.

It is a super-3 number, since 3×315252252513³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (315252252583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136412628 + ... + 136414938.

It is an arithmetic number, because the mean of its divisors is an integer number (5372570112).

Almost surely, 2^315252252513 is an apocalyptic number.

315252252513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315252252513 is a deficient number, since it is larger than the sum of its proper divisors (200514478239).

315252252513 is a wasteful number, since it uses less digits than its factorization.

315252252513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2752 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

It can be divided in two parts, 315252 and 252513, that added together give a palindrome (567765).

The spelling of 315252252513 in words is "three hundred fifteen billion, two hundred fifty-two million, two hundred fifty-two thousand, five hundred thirteen".