315125040 has 80 divisors (see below), whose sum is σ = 978651648. Its totient is φ = 83881728.

The previous prime is 315125029. The next prime is 315125081. The reversal of 315125040 is 40521513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×315125040³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315124998 and 315125016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211177 + ... + 212663.

Almost surely, 2^315125040 is an apocalyptic number.

315125040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315125040 is an abundant number, since it is smaller than the sum of its proper divisors (663526608).

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

315125040 is a wasteful number, since it uses less digits than its factorization.

315125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 315125040 is about 17751.7616027255. The cubic root of 315125040 is about 680.4992297043.

Adding to 315125040 its reverse (40521513), we get a palindrome (355646553).

The spelling of 315125040 in words is "three hundred fifteen million, one hundred twenty-five thousand, forty".