315032025 has 72 divisors (see below), whose sum is σ = 661055904. Its totient is φ = 130905600.

The previous prime is 315031991. The next prime is 315032033. The reversal of 315032025 is 520230513.

It is not a de Polignac number, because 315032025 - 2¹² = 315027929 is a prime.

It is a super-3 number, since 3×315032025³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 315031992 and 315032010.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 36529 + ... + 44321.

It is an arithmetic number, because the mean of its divisors is an integer number (9181332).

Almost surely, 2^315032025 is an apocalyptic number.

315032025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315032025 is an abundant number, since it is smaller than the sum of its proper divisors (346023879).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315032025 is a wasteful number, since it uses less digits than its factorization.

315032025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 315032025 is about 17749.1415285360. The cubic root of 315032025 is about 680.4322691261.

Adding to 315032025 its reverse (520230513), we get a palindrome (835262538).

The spelling of 315032025 in words is "three hundred fifteen million, thirty-two thousand, twenty-five".