312525213 has 48 divisors (see below), whose sum is σ = 563783808. Its totient is φ = 149846400.

The previous prime is 312525181. The next prime is 312525217.

It is a happy number.

312525213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312525213 - 2⁵ = 312525181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312525217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28303 + ... + 37763.

It is an arithmetic number, because the mean of its divisors is an integer number (11745496).

Almost surely, 2^312525213 is an apocalyptic number.

312525213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312525213 is a deficient number, since it is larger than the sum of its proper divisors (251258595).

312525213 is a wasteful number, since it uses less digits than its factorization.

312525213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9506 (or 9495 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 312525213 is about 17678.3826466111. The cubic root of 312525213 is about 678.6226539543.

It can be divided in two parts, 312 and 525213, that added together give a palindrome (525525).

The spelling of 312525213 in words is "three hundred twelve million, five hundred twenty-five thousand, two hundred thirteen".