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312413053 is a prime number
BaseRepresentation
bin10010100111110…
…000101101111101
3210202212020010211
4102213300231331
51114434204203
651000032421
710512316141
oct2247605575
9722766124
10312413053
11150392607
1288762711
134c955ac4
142d6c5221
151c661c6d
hex129f0b7d

312413053 has 2 divisors, whose sum is σ = 312413054. Its totient is φ = 312413052.

The previous prime is 312413047. The next prime is 312413069. The reversal of 312413053 is 350314213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311240164 + 1172889 = 17642^2 + 1083^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312413053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312413093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156206526 + 156206527.

It is an arithmetic number, because the mean of its divisors is an integer number (156206527).

Almost surely, 2312413053 is an apocalyptic number.

It is an amenable number.

312413053 is a deficient number, since it is larger than the sum of its proper divisors (1).

312413053 is an equidigital number, since it uses as much as digits as its factorization.

312413053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 312413053 is about 17675.2101260494. The cubic root of 312413053 is about 678.5414621860.

Adding to 312413053 its reverse (350314213), we get a palindrome (662727266).

The spelling of 312413053 in words is "three hundred twelve million, four hundred thirteen thousand, fifty-three".