313552511405 has 96 divisors (see below), whose sum is σ = 455441564160. Its totient is φ = 206515008000.

The previous prime is 313552511387. The next prime is 313552511509. The reversal of 313552511405 is 504115255313.

It is not a de Polignac number, because 313552511405 - 2¹⁸ = 313552249261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 115658000 + ... + 115660710.

It is an arithmetic number, because the mean of its divisors is an integer number (4744182960).

Almost surely, 2^313552511405 is an apocalyptic number.

313552511405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313552511405 is a deficient number, since it is larger than the sum of its proper divisors (141889052755).

313552511405 is a wasteful number, since it uses less digits than its factorization.

313552511405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

Adding to 313552511405 its reverse (504115255313), we get a palindrome (817667766718).

The spelling of 313552511405 in words is "three hundred thirteen billion, five hundred fifty-two million, five hundred eleven thousand, four hundred five".