315202522041 has 135 divisors (see below), whose sum is σ = 532480211263. Its totient is φ = 185675798880.

The previous prime is 315202521979. The next prime is 315202522057. The reversal of 315202522041 is 140225202513.

The square root of 315202522041 is 561429.

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

315202522041 is a `hidden beast` number, since 31 + 520 + 2 + 52 + 20 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 227228589225 + 87973932816 = 476685^2 + 296604^2 .

It is not a de Polignac number, because 315202522041 - 2¹³ = 315202513849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 315202521996 and 315202522014.

It is not an unprimeable number, because it can be changed into a prime (315202722041) 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 134 ways as a sum of consecutive naturals, for example, 2945817910 + ... + 2945818016.

Almost surely, 2^315202522041 is an apocalyptic number.

315202522041 is the 561429-th square number.

315202522041 is the 280715-th centered octagonal number.

It is an amenable number.

315202522041 is a deficient number, since it is larger than the sum of its proper divisors (217277689222).

315202522041 is an equidigital number, since it uses as much as digits as its factorization.

315202522041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 315202522041 its reverse (140225202513), we get a palindrome (455427724554).

The spelling of 315202522041 in words is "three hundred fifteen billion, two hundred two million, five hundred twenty-two thousand, forty-one".