312513552 has 180 divisors, whose sum is σ = 982328620. Its totient is φ = 95738112.

The previous prime is 312513547. The next prime is 312513557. The reversal of 312513552 is 255315213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312513547) and next prime (312513557).

It can be written as a sum of positive squares in 2 ways, for example, as 176464656 + 136048896 = 13284^2 + 11664^2 .

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 (312513557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1364574 + ... + 1364802.

Almost surely, 2^312513552 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 312513552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491164310).

312513552 is an abundant number, since it is smaller than the sum of its proper divisors (669815068).

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

312513552 is an equidigital number, since it uses as much as digits as its factorization.

312513552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 247 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 312513552 is about 17678.0528339520. The cubic root of 312513552 is about 678.6142135503.

Adding to 312513552 its reverse (255315213), we get a palindrome (567828765).

The spelling of 312513552 in words is "three hundred twelve million, five hundred thirteen thousand, five hundred fifty-two".