315545631325540 has 192 divisors, whose sum is σ = 834758004326400. Its totient is φ = 97328803392000.

The previous prime is 315545631325531. The next prime is 315545631325543. The reversal of 315545631325540 is 45523136545513.

It is a happy number.

It is a super-3 number, since 3×315545631325540³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (315545631325543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307301101 + ... + 308326219.

It is an arithmetic number, because the mean of its divisors is an integer number (4347697939200).

Almost surely, 2^{315545631325540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315545631325540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417379002163200).

315545631325540 is an abundant number, since it is smaller than the sum of its proper divisors (519212373000860).

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

315545631325540 is a wasteful number, since it uses less digits than its factorization.

315545631325540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027226 (or 1027224 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 52.

The spelling of 315545631325540 in words is "three hundred fifteen trillion, five hundred forty-five billion, six hundred thirty-one million, three hundred twenty-five thousand, five hundred forty".