315540225 has 192 divisors, whose sum is σ = 779950080. Its totient is φ = 120787200.

The previous prime is 315540221. The next prime is 315540229. The reversal of 315540225 is 522045513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315540221) and next prime (315540229).

It is not a de Polignac number, because 315540225 - 2² = 315540221 is a prime.

It is a super-4 number, since 4×315540225⁴ (a number of 35 digits) contains 4444 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (315540221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 675442 + ... + 675908.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^315540225 is an apocalyptic number.

315540225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315540225 is an abundant number, since it is smaller than the sum of its proper divisors (464409855).

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

315540225 is a wasteful number, since it uses less digits than its factorization.

315540225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 315540225 is about 17763.4519449346. The cubic root of 315540225 is about 680.7979567133.

Adding to 315540225 its reverse (522045513), we get a palindrome (837585738).

The spelling of 315540225 in words is "three hundred fifteen million, five hundred forty thousand, two hundred twenty-five".