315901326601 has 27 divisors (see below), whose sum is σ = 384259051533. Its totient is φ = 258925654680.

The previous prime is 315901326583. The next prime is 315901326619. The reversal of 315901326601 is 106623109513.

It is a happy number.

The square root of 315901326601 is 562051.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (315901326583) and next prime (315901326619).

It is not a de Polignac number, because 315901326601 - 2¹⁷ = 315901195529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315901326401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90488466 + ... + 90491956.

Almost surely, 2^315901326601 is an apocalyptic number.

315901326601 is the 562051-st square number.

315901326601 is the 281026-th centered octagonal number.

It is an amenable number.

315901326601 is a deficient number, since it is larger than the sum of its proper divisors (68357724932).

315901326601 is an frugal number, since it uses more digits than its factorization.

315901326601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 315901326601 in words is "three hundred fifteen billion, nine hundred one million, three hundred twenty-six thousand, six hundred one".