313254601 has 9 divisors (see below), whose sum is σ = 344535303. Its totient is φ = 284599920.

The previous prime is 313254569. The next prime is 313254611. The reversal of 313254601 is 106452313.

The square root of 313254601 is 17699.

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

It can be written as a sum of positive squares in only one way, i.e., 306285001 + 6969600 = 17501^2 + 2640^2 .

It is not a de Polignac number, because 313254601 - 2⁵ = 313254569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313254611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 193885 + ... + 195493.

Almost surely, 2^313254601 is an apocalyptic number.

313254601 is the 17699-th square number.

313254601 is the 8850-th centered octagonal number.

It is an amenable number.

313254601 is a deficient number, since it is larger than the sum of its proper divisors (31280702).

313254601 is an frugal number, since it uses more digits than its factorization.

313254601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The cubic root of 313254601 is about 679.1501790185.

Multiplying 313254601 by its sum of digits (25), we get a square (7831365025 = 88495²).

The spelling of 313254601 in words is "three hundred thirteen million, two hundred fifty-four thousand, six hundred one".