315311553 has 12 divisors (see below), whose sum is σ = 456443988. Its totient is φ = 209748960.

The previous prime is 315311551. The next prime is 315311569. The reversal of 315311553 is 355113513.

It can be written as a sum of positive squares in 2 ways, for example, as 118526769 + 196784784 = 10887^2 + 14028^2 .

It is not a de Polignac number, because 315311553 - 2¹ = 315311551 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315311551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33850 + ... + 42147.

It is an arithmetic number, because the mean of its divisors is an integer number (38036999).

Almost surely, 2^315311553 is an apocalyptic number.

It is an amenable number.

315311553 is a deficient number, since it is larger than the sum of its proper divisors (141132435).

315311553 is a wasteful number, since it uses less digits than its factorization.

315311553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76464 (or 76461 counting only the distinct ones).

The product of its digits is 3375, while the sum is 27.

The square root of 315311553 is about 17757.0141915807. The cubic root of 315311553 is about 680.6334588774.

It can be divided in two parts, 3153 and 11553, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 315311553 in words is "three hundred fifteen million, three hundred eleven thousand, five hundred fifty-three".