315200641 has 16 divisors (see below), whose sum is σ = 368579200. Its totient is φ = 263979648.

The previous prime is 315200581. The next prime is 315200647. The reversal of 315200641 is 146002513.

It is a cyclic number.

It is not a de Polignac number, because 315200641 - 2⁹ = 315200129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315200647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52870 + ... + 58528.

It is an arithmetic number, because the mean of its divisors is an integer number (23036200).

Almost surely, 2^315200641 is an apocalyptic number.

It is an amenable number.

315200641 is a deficient number, since it is larger than the sum of its proper divisors (53378559).

315200641 is a wasteful number, since it uses less digits than its factorization.

315200641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 315200641 is about 17753.8908693278. The cubic root of 315200641 is about 680.5536444097.

The spelling of 315200641 in words is "three hundred fifteen million, two hundred thousand, six hundred forty-one".