315135420210 has 128 divisors (see below), whose sum is σ = 905252060160. Its totient is φ = 77550559488.

The previous prime is 315135420209. The next prime is 315135420211. The reversal of 315135420210 is 12024531513.

315135420210 is a `hidden beast` number, since 3 + 15 + 13 + 5 + 420 + 210 = 666.

315135420210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (315135420209) and next prime (315135420211).

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

It is not an unprimeable number, because it can be changed into a prime (315135420211) 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, 15655072 + ... + 15675188.

It is an arithmetic number, because the mean of its divisors is an integer number (7072281720).

Almost surely, 2^315135420210 is an apocalyptic number.

315135420210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315135420210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452626030080).

315135420210 is an abundant number, since it is smaller than the sum of its proper divisors (590116639950).

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

315135420210 is a wasteful number, since it uses less digits than its factorization.

315135420210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24609 (or 24603 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 315135420210 its reverse (12024531513), we get a palindrome (327159951723).

The spelling of 315135420210 in words is "three hundred fifteen billion, one hundred thirty-five million, four hundred twenty thousand, two hundred ten".